Therefore it is the first option. Interval Notation: (−∞,∞) ( - ∞, ∞). In this. So the vertex is (-5,2) 2) FORMULA General form of equation of mod function is given by y = a |x - h| + k where Vertex = (h, k) The given equation is h (x) = 3 |x + 5| + 2 h (x) = 3 |x - (-5)| + 2. Algebra Graph y=x^2-6x+11 y = x2 − 6x + 11 y = x 2 - 6 x + 11 Find the properties of the given parabola. ( , ) 2 See answers Advertisement jdoe0001 Well, the cheap answer is f (x) = -3| x - 1 | is really just f (x) = -3| x - 1 | + 0. a = 8 b = -7 c = 1 Step 2: Put the values in the formulas. 5 use this value in the equation to calculate the 'y' coordinate d ) graph it with your tools. (-1,10) B. y = (x + 2) - D - (x + 2) + 42. Step 2. It's a second degree equation. So, the vertex should be at Let's double check our -coordinate by using the standard method (plugging into the original function). All quadratic functions have the same type of curved graphs with a line of symmetry. Tap for more steps. Step 1. Since at the function has zero, then This means that vertex has coordinates (-6,0). Likewise, if x=2, we get 1+5=6. Transcribed image text: The graph of a quadratic function f is given. The graph of a quadratic function. Step-by-step explanation: We have been given a function formula. How to Find the Vertex when Graphing Quadratic Functions? To determine the vertex of the parabola when graphing quadratic equations, we determine the x-coordinate of the vertex. Graphing a Quadratic Function Using Its Vertex, Axis, and Intercepts (a) Graph ƒ(x) = 2x² + x + 1 by determining whether the graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and x-intercepts, if any. The graph of y = x moves 5 units up. the parts of a parabola include: the axis of symmetry (the line passing through the vertex of the parabola to which the parabola is symmetric about), the vertex (the point at which the parabola. vertex (x,y) = ( (x,y) = ( (x,y) = ( −(x,y) = ( x-intercepts (x,y) = ( ) (smaller x-value) (targer x -value) y-intercept ⋅ (x,y) = (b) Find the maximum or minimum. Then you have solved for x and y. )If the snaph is reverse, what is the coordinates of the vertes What is the quadratic function of the graph in vertex form? B. 2 ) Find the domain and range of the quadratic function whose graph is described. Step 5: Graph theaxisofsymmetry, vertex , point containing y‐intercept and two other points Step 6: Reflect the points across the axis of symmetry. Find two points on the graph of the parabola other than the vertex and x-intercepts. Solution: Step 1: Identify the values. It indicates, "Click to perform a search". The graph of y=x moves 5 units to the left. 3D coordinates to calculate the contact map of the protein. And I know its graph is going to be a parabola. a = 1, b = − 4, and c = 3. The graph is the function negative two times the sum of x plus five squared plus four. the parts of a parabola include: the axis of symmetry (the line passing through the vertex of the parabola to which the parabola is symmetric about), the vertex (the point at which the parabola. The x coordinate can be found by dividing the opposite (negative) of the coefficient of the x-term by two times the coefficient of the x^2 term. (b) Determine the domain and the range of ƒ. And I know its graph is going to be a parabola. For example Let’s say this is two line segments /\ , the point on top is the vertex. Solution: The answer is D. Using concepts of the absolute value function, it is found that the vertex is at (1,0). In a parabola Vertex is the highest point or the lowest point. (b) Determine the domain and the range of ƒ. We can find the coordinates of the vertex in two ways. I can graph a quadratic function in vertex form using the vertex and a table. Ok, ready to try one on your own? Practice Problem Given the following function: h (x) = 1/2x2 - x +2 Predict whether the parabola will open up or down. To find the coordinates of the vertex, we calculate The vertex of the parabola is the point (−2, 0). Forgetting to rearrange when necessary. (c) Determine where ƒ is increasing and where it is decreasing. A vertical line passing through the vertex is called the axis of symmetry for the . There are other functions that we can reflect about both the x- and y-axis and get the same graph. Direction: Opens Up Vertex: (3,2) ( 3, 2) Focus: (3, 9 4) ( 3, 9 4) Axis of Symmetry: x = 3 x = 3 Directrix: y = 7 4 y = 7 4 Select a few x x values, and plug them into the equation to find the corresponding y y values. In this case, the vertex for y = |x−5| y = | x - 5 | is (5,0) ( 5, 0). x y 1 6 2 3 3 2 4 3 5 6 x y 1 6 2 3 3 2 4 3 5 6. Use the function f(x)= tan(2x+1) to answer the following Determine the period (P) and phase shift (PS) of the function explain what each part would represent in a graph of this function. A vertical line passing through the vertex is called the axis of symmetry for the . the parts of a parabola include: the axis of symmetry (the line passing through the vertex of the parabola to which the parabola is symmetric about), the vertex (the point at which the parabola. Tap for more steps. Tap for more steps. Add sliders to demonstrate function transformations, create tables to input and plot data, animate your graphs ,. the parts of a parabola include: the axis of symmetry (the line passing through the vertex of the parabola to which the parabola is symmetric about), the vertex (the point at which the parabola. Method 2: We use the formula. The equation of the axis of symmetry of the graph is y = 18. It is the turning point of the graph. The x-coordinate of the vertex is greater than the y-coordinate. Expert Answer. But how to find the vertex of a quadratic function?. The x coordinate can be found by dividing the opposite (negative) of the coefficient of the x-term by two times the coefficient of the x^2 term. For example, \(y=x^{2} \{y\gt3\}\) would only show the part of the parabola where \(y\)-values are greater than 3. General form of equation of mod function is given by. We know that the x-coordinate of an equation in form can be determined using formula. The graph is the function negative two times the sum of x plus five squared plus four. Tap for more steps. Log In My Account bg. Algebra Graph y=x^2-6x+11 y = x2 − 6x + 11 y = x 2 - 6 x + 11 Find the properties of the given parabola. We plug in the values of x and obtain the corresponding values of y, hence obtaining the coordinates of the graph. (-1,10) B. In Mathematics, the vertex formula helps to find the vertex coordinate of a parabola, when the graph crosses its axes of symmetry. vertes (x,y) = ( (x,y) = ( (smaller x-value) x. Press the y= button on the graphing calculator. The vertex of the function is plotted at the point negative three, four and there are small lines leaving toward the rest of the function. Tell whether the vertex is a maximum or a minimum. For identifying the minimum or maximum on a graph, look at the images below:. \) That is, it is the set of all points \(\left( {x,\,f\left( x \right)} \right). And when x is equal to 3, this is 3 minus 2, which is 1 squared is 1 times negative 2 is negative 2 plus 5 is 3 as well. vertes (x,y) = ( (x,y) = ( (smaller x-value) x. For example Let’s say this is two line segments /\ , the point on top is the vertex. Direction: Opens Up Vertex: (3,2) ( 3, 2) Focus: (3, 9 4) ( 3, 9 4) Axis of Symmetry: x = 3 x = 3 Directrix: y = 7 4 y = 7 4 Select a few x x values, and plug them into the equation to find the corresponding y y values. vertes (x,y) = ( (x,y) = ( (smaller x-value) x. A: The coordinates of the vertex are (-4 , 18). So this thing is going to be negative 2 plus 5, so it's going to be 3. Remember from the lecture that the x-coordinate of the vertex is always -b/2a. In this problem, the function is: Thus, , which means that the vertex is at (1,0), which is confirmed by the sketch of the graph at the end of this answer. If x=0, this function is -1+5=4. GRAPHING A QUADRATIC FUNCTION 1. Now that we know the vertex is at the same x-coordinate as the axis of symmetry, we can simply plug this value into our function to find the y-coordinate of the vertex: So the vertex occurs at the point: Report an Error Example Question #1 : Find The Vertex And The Axis Of Symmetry Of A Parabola Find the equation of the axis of symmetry:. The graph of a quadratic function is a parabola, a U-shaped curve that opens upward or downward. The vertex is at (b,c). f (x) = -2x2 - 4x + 8 A. graph signal can also follow two domains: vertex domain and graph spectral domain. The method, and formula, is shown with an example. A quadratic function is represented as: Where (h,k) represents the vertex of the graph So by comparison: Given that a is positive (i. (b) Find the value of x where f(x) attains its minimum value or its maximum value. The graph of a quadratic function f is given. Trig functions of any angle. Review Vertex and Intercepts of a Quadratic Functions The graph of a quadratic function of the form. A rectangle is drawn in the first quadrant so that it has two adjacent sides on the coordinate axes and one vertex on the curve y = − ln x. ) Describe the translation of the graph of y- A. The absolute value is the distance between a number and zero. With this kind of plots you get angular points where the graph of the "original" function - ie the one without the absolute value - would cross the x-axis. A cosine function is a reflection of its parent function over the x-axis. Thus, the axis of symmetry is. What is the. What are the coordinates of the vertex of the graph of the function ie Fiction Writing Complete the square using the function below to express it standard form, then fin its vertex. 3D coordinates to calculate the contact map of the protein. From left to right: Parabola 1 (in red): concave down, intersects the -axis at two points. We analyse the partition function of the Ising model on graphs of two different types: complete graphs, wherein all nodes are mutually linked and annealed scale-free networks for which the degree distribution decays as P(k) ∼ k −λ. Advanced Functions Trigonometry. What are the coordinates of the vertex of the graph? Is it a. The standard form of a quadratic equation is ax 2 + bx + c. A rectangle is drawn in the first quadrant so that it has two adjacent sides on the coordinate axes and one vertex on the curve y = − ln x. In each case, find vertex of the quadratic function : Example 1 : f (x) = 7x 2 - 12. Jun 19, 2020 · Vertex can be defined as defined as the point where two lines meet and form a particular angle with each other. Consider the provided graph. Transcribed image text: The graph of a quadratic function f is given. g (x) = |x + 4| - 10 On each coordinate plane, the parent function f (x) = |x| is represented by a dashed line and a translation is represented by a solid line. Step 1. Step 2: Find the vertex and draw the axis of symmetry. This slope is equal to 0 at the vertex of the parabola. The formula for the axis of symmetry and the x-coordinate of the vertex is: x = −b 2a To find the y-coordinate of the vertex, substitute the value for x into the equation and solve for y. Let vi stand for the number of vertices whose valence is i and let m be the largest valence in the graph. is a parabola. Interval Notation: (−∞,∞) ( - ∞, ∞). For x^2 + 4x + 10, this would be -4/2 = -2. And it's been expressed in its completed square or vertex form. The graph of y- z moves 5. Find the axis of symmetry by finding the line that passes through the vertex and the focus. Polynomial and Rational Functions · Quadratic Functions · Graph Parabolas. Algebra Graph y=x^2-6x+11 y = x2 − 6x + 11 y = x 2 - 6 x + 11 Find the properties of the given parabola. vertes (x,y) = ( (x,y) = ( (smaller x-value) x. Press graph and adjust the window if necessary. Algebra 1- Please help whenever you get the chance. A rectangle is drawn in the first quadrant so that it has two adjacent sides on the coordinate axes and one vertex on the curve y = − ln x. For a quadratic function , the -coordinate of the vertex is always. The method, and formula, is shown with an . Moreover, if x=2, y=2, if x=-2, y=-2. The graph of a second function, , is obtained by a reflection of the graph of in the - axis, followed by a translation of. Now, expand the square formula: m = a ( x 2 + y 2 + 2 h x) + K. We can find vertex by two methods: 1) GRAPH. When a quadratic function is given in vertex form, we can find the vertex easily by taking the values of 'h' and 'k'. The method, and formula, is shown with an example. Jun 19, 2020 · We can find vertex by two methods: 1) GRAPH. Use EdgeLabel to label the edges using the edge weights. What is the value of k? A k = -2. Find the coordinates of the vertex . To find the coordinates of the vertex, we calculate The vertex of the parabola is the point (−2, 0). The vertex of the graph of a quadratic function is the highest or lowest possible output for that function. In this case, the vertex for is. Tap for more steps. vertex (x,y) = ( (x,y) = ( (x,y) = ( −(x,y) = ( x-intercepts (x,y) = ( ) (smaller x-value) (targer x -value) y-intercept ⋅ (x,y) = (b) Find the maximum or minimum. Now that we know the vertex is at the same x-coordinate as the axis of symmetry, we can simply plug this value into our function to find the y-coordinate of the vertex: So the vertex occurs at the point: Report an Error Example Question #1 : Find The Vertex And The Axis Of Symmetry Of A Parabola Find the equation of the axis of symmetry:. Notice that in this equation, a = 1,b= −4, and c = 3. Conic Sections: Parabola and Focus. Since a < 0, the parabola opens downward. The acceleration due to gravity on the moon is 1. The graph of y = x moves 5 units up. The score function η for G is defined by η. ) Describe the translation of the graph of y-A. The formula for the axis of symmetry and the x-coordinate of the vertex is: x = −b 2a To find the y-coordinate of the vertex, substitute the value for x into the equation and solve for y. Translations: find the coordinates 6. If the triangle was dilated by a scale factor of 3 and the coordinates are A(1,3), B(-2,1), and C(4,2), what are the new coordinates for A', B', and C'? Math. x y 1 6 2 3 3 2 4 3 5 6 x y 1 6 2 3 3 2 4 3 5 6. Consider the quadratic function $$ f ( x )= x 2−2 x −3. The graph below shows three parabolas. When the coefficient a is positive the vertex is the lowest point in the. Jun 19, 2020 · Vertex can be defined as defined as the point where two lines meet and form a particular angle with each other. . In this case, when [tex]2x-3 = 0 \rightarrow x= \frac32[/tex]. Free functions vertex calculator - find function's vertex step-by-step. By using the vertex formula, the vertex is The axis of symmetry is the vertical line passing through the vertex, where is the -coordinate of. The vertex coordinates of the graph of one equation are not shown. Opens Upward vs Downward - y =+x^2 vs y = -x^2 4. Again, we start with the formula for the x-coordinate . 1) Cite this as: Wolfram Research (2010), VertexCoordinates, Wolfram Language function, https://reference. vertes (x, y) = ((x, y) = ( (smaller x-value. You find nothing at (-10,6), so. f(x) = a x 2 + b x + c. vertes (x,y) = ( (x,y) = ( (smaller x-value) x. To find the vertex of the curve (parabola. Using concepts of the absolute value function, it is found that the vertex is at (1,0). To find the vertex, you need to find the x- and y-coordinates. A coordinate plane. (9,0) C. Step 4: Find the x-intercept(s). In a quadratic equation, the term = a, the term = b, and the constant term (the term without a variable) = c. How to Find the Vertex when Graphing Quadratic Functions? To determine the vertex of the parabola when graphing quadratic equations, we determine the x-coordinate of the vertex. h(x) = 3 |x + 5| + 2. For example Let’s say this is two line segments /\ , the point on top is the vertex. The graph of a quadratic function f is given. g (x) = |x + 4| - 10 On each coordinate plane, the parent function f (x) = |x| is represented by a dashed line and a translation is represented by a solid line. The focus of a parabola can be found by adding to the y-coordinate if the parabola opens up or down. f (x) = 4x2 + 8x −3 (a) Find the coordinatee of the verte vertex x-intersepts ( (x,y) = y -intercept (x,y) = The graph of a quadratic function f is given. Parabolas are symmetric, so we can find the x x -coordinate of the vertex by averaging the x x -intercepts. ( , ) 2 See answers Advertisement jdoe0001 Well, the cheap answer is f (x) = -3| x - 1 | is really just f (x) = -3| x - 1 | + 0. Let's say. f (x) = −21x2 − 2x +6 (a) Find the coordinates of the vertex and the x and y -intercepts. The coordinates of the vertex are ( 1. Identify a quadratic function written in . In a quadratic equation, the term = a, the term = b, and the constant term (the term without a variable) = c. Type in the equation. If the function is indeed just a shift of the function x 3, the location of the vertex implies that its algebraic representation is (x-1) 3 +5. Now, expand the square formula: m = a ( x 2 + y 2 + 2 h x) + K. Interval Notation: (−∞,∞) ( - ∞, ∞). If x1 and x2 are the x intercepts of the graph then the x coordinate h of the vertex is given by (see formula above) h = (x1 + x2) / 2 = (- 4 + 6) / 2 = 1 We now know the x (h = 1) and y. f (x) = −21x2 − 2x +6 (a) Find the coordinates of the vertex and the x - and y -interceptr. The graph of a quadratic function. The function f (x) = x2 + 10x - 3 written in vertex form is f (x) = (x + 5)2 - 28. The provided graph is the graph of a parabola. Vertex: ( 0 , 1) because it cut at y , When the parabola opens down, the vertex is the highest point on the graph is called the maximum, or. The Vertex Form of the equation of a parabola is very useful. Sketch the graph of the quadratic function. The graph of a second function, , is obtained by a reflection of the graph of in the - axis, followed by a translation of. Graph f(x)=|x| Step 1. Advanced Placement (AP), 03. If the vertex of the graph of the quadratic function is at (4, 19), what is the value of v ?. Find the coordinates of the vertex . Finally, to determine the vertex of a quadratic function, simply use the method outlined above: to determine the x-coordinate of the vertex, use . f(x) = a x 2 + b x + c. pwc trader, thrill seeking baddie takes what she wants chanel camryn
([ (x, y) = Find the zeros, if any exist. . What are the coordinates of the vertex of the graph of the function
The graph of the function f (x) = (x + 6) (x + 2) is shown. Transcribed image text: 1) Find the. For example, \(y=x^{2} \{y\gt3\}\) would only show the part of the parabola where \(y\)-values are greater than 3. Apr 28, 2015 · is a parabola with a slope (for arbitrary values of x) given by the expression dy dx = 2x − 4 This slope is equal to 0 at the vertex of the parabola 2x −4 = 0 → x = 2 When x = 2 the equation for the parabola gives us y = (2)2 −4 ⋅ (2) −5 = − 9 So the coordinates of the vertex of the parabola are (2, − 9) Answer link. Now, put x = 1 in the. View the full answer. A rectangle is drawn in the first quadrant so that it has two adjacent sides on the coordinate axes and one vertex on the curve y = − ln x. )If the snaph is reverse, what is the coordinates of the vertes What is the quadratic function of the graph in vertex form? B. The zeros of the function are: (-4,0) and (2,0). You can find slope of a line by either comparing any 2 points on the line or using this free graph slope calculator from points. Find the x and y coordinates of all relative maximum points of f. The provided graph is the graph of a parabola. A free online vertex form calculator can convert vertex form to the standard form of a parabola. The vertex is the maximum value. I can graph a quadratic function in vertex form using the vertex and a table. In this case, the vertex for is. By using the vertex formula, the vertex is The axis of symmetry is the vertical line passing through the vertex, where is the -coordinate of. The graph below shows three parabolas. The method, and formula, is shown with an example. Graph f(x)=|x| Step 1. (-2)^2 + 4 (-2) + 10 = 4 - 8 + 10 = 6. So the vertex is (-5,2) 2) FORMULA General form of equation of mod function is given by y = a |x - h| + k where Vertex = (h, k) The given equation is h (x) = 3 |x + 5| + 2 h (x) = 3 |x - (-5)| + 2. We have been given a function formula. Practice Problems. We can see that value of b is 6 and value of a is -1. 2021 01:20. Algebra Graph y=x^2-6x+11 y = x2 − 6x + 11 y = x 2 - 6 x + 11 Find the properties of the given parabola. What are the coordinates of the vertex of the graph? The vertex is 1 See answer Advertisement lilylola The endpoint when two or more rays or line segments are connected. Details Examples open all Basic Examples (3) By default, any vertex coordinates are computed automatically: In [1]:= Out [1]= Specify all vertex coordinates: In [1]:= Out [1]= In this case, put them on a parabola:. Thus, the Vertex of the provided parabola is (0, 2). I use the coordinates of each vertex from my graph representing the constraints to find the values that maximize or minimize an objective function. (-1,10) B. The method, and formula, is shown with an example. The graph of y=x moves 5 units to the left. Expert Answer. The graph of y=x moves 5 units to the left. Find the x and y coordinates of all relative maximum points of f. Vertex : ( 0 , 1) because it cut at y , When the parabola opens down, the vertex is the highest point on the graph is called the maximum, or. The graph of y=x moves 5 units to the right. The x x values should be selected around the vertex. By using the vertex formula, the vertex is The axis of symmetry is the vertical line passing through the vertex, where is the -coordinate of. For example, \(y=x^{2} \{y\gt3\}\) would only show the part of the parabola where \(y\)-values are greater than 3. It also shows you how to find th. Moving from left to. A parabola is the shape of a graph made by a quadratic function ax2 + bx2 + c. ( , ) 2 See answers Advertisement jdoe0001 Well, the cheap answer is f (x) = -3| x - 1 | is really just f (x) = -3| x - 1 | + 0. So, the vertex should be at Let’s double check our -coordinate by using the standard method (plugging into the original function). graph signal can also follow two domains: vertex domain and graph spectral domain. We know that the standard equation of a parabola is y=ax2+bx+c. Transcribed image text: 1) Find the coordinates of the vertex of the graph of the function. graph signal can also follow two domains: vertex domain and graph spectral domain. The graph of y=x moves 5 units to the right. Use the quadratic formula to identify the entire vertex of the function, and then verify the answer using the standard method. You can find slope of a line by either comparing any 2 points on the line or using this free graph slope calculator from points. When the coefficient a is positive the vertex is the lowest point in the. Step 2: Find the vertex and draw the axis of symmetry. It is the turning point of the graph. You may use an increment of 2 2, and trust me, the graph will be the same. the function in vertex form and in factored form. Sep 27, 2014 · For y= a (x-h)2+k, the vertex of the graph is (h , k), where. I can graph a quadratic function in vertex form using the vertex and a table. State the domain, range and the axis of symmetry. y=|x−h|+k where (h,k) is the vertex. The graph and the coordinates of the endpoints of the 3 line segments are shown in the standard (x,y) coordinate plane below. Expert Answer Transcribed image text: The graph of a quadratic function f is given. Find its vertex and all of its intercepts and create a graph. If your equation is in the form ax^2 + bx + c = y, you can find the x-value of the vertex by using the formula x = -b/2a. Generally, the vertex point is represented by (h, k). If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. The graph of y- z moves 5. vertes (x, y) = ((x, y) = ( (smaller x-value. vertes (x,y) = ( (x,y) = ( (smaller x-value) x. r(x) = -2x2 – 4x - 2 s(x) = 4x2 + 8x - 6 t(x) = x2 – 10x + 22 w(x) = -3x2 – 12x – 7 6. Using the graph, determine the coordinate of the vertex of the parabola. ) vertex(x,. We know that the standard equation of a parabola is y=ax2+bx+c. (-1,14) C. r(x) = |x+9|| 3. f (x) = 4x2 + 8x −3 (a) Find the coordinatee of the verte vertex x-intersepts ( (x,y) = y -intercept (x,y) = The graph of a quadratic function f is given. The graph of f(x), a trigonometric function, and the graph of g(x) = c intersect at n points over the interval 0. Since a < 0, the parabola opens downward. The zeros of the function are: (-4,0) and (2,0). I will make graphs of quadratic functions varying the coefficients in a. (b) Find the value of x where f(x) attains its minimum value or its maximum value. Tell whether the vertex is a maximum or a minimum. If there are multiple x-intercepts, enter your answers as a comma-separated list. Tell whether the vertex is a maximum or a minimum. (c) What are the coordinates of the vertex? (d) Graph the function on the coordinate plane. Add sliders to demonstrate function transformations, create tables to input and plot data, animate your graphs ,. Solution : We have given the graph of parabola. answered What are the coordinates of the vertex of the graph? The vertex is 2 See answers Advertisement collado763 Answer: (-2,1) Step-by-step explanation: edgenuity 20 Advertisement lilylola The endpoint when two or more rays or line segments are connected. The x- and y-axes both scale by one. What are the coordinates of the vertex of the graph? Is it a. HSF. When a quadratic function is given in vertex form, we can find the vertex easily by taking the values of 'h' and 'k'. Solution: Step 1: Identify the values. (-2, 15) Step-by-step explanation: y = -3x^2 - 12x + 3 a = -3 b = -12 c = 3 the formula for finding the x value of the vertex is -b/2a so if we plug in the values into the equation we get. r(x) = |x+9|| 3. Its maximum point is (1, 16) (1,16). ka; gg. Answer: (-6,0) Advertisement Previous Next Advertisement. For this purpose, extract 5 from the whole equation, such as; Y = 5 (x 2 + 2x + ⅖) Step 2: Divide the coefficient of x by 2 and take its square. Inverse trig functions. (b) Hence, or otherwise, write down the coordinates of the vertex of the parabola with equation y = x2 – 6x + 14. All quadratic functions have the same type of curved graphs with a line of symmetry. (3,2) ( 3, 2) The domain of the expression is all real numbers except where the expression is undefined. The graph below shows three parabolas. Without graphing, predict the coordinates of the vertex of the graphs of these quadratic functions, and predict whether the graph opens up or opens down. The absolute value can be graphed using the points around the vertex. y = 3x + 12x + 2 O (2,38); maximum O (-10,-2); maximum O (-2,-34); minimum O (-2,-10); minimum. We can write the vertex form equation as: y = a·(x-h)² + k. . sign in to craigslist account