Use the vertex (h, k) and a point on the graph (z, y) to find the Standard Form ( f(x) = a(x – h) + k ) of the equation of this quadratic function. (h, k) = (4, 0) . (x, y) = (1, 9) f(r) = Preview

Q: Use the vertex (h, k) and a point on the graph (z, y) to find the Standard Form (f(z) = a(x – h)² +…

A: The given vertex is h,k=-4,0 and the point is x,y=-2,-4

Q: Based on data from the U.S. Bureau of Public Roads, a model for the total stopping distance of a…

A: Find ds/dv using first derivative and exponent rule of derivative.

Q: Consider the Quadratic function f(x) = 9z? – 1. - Its vertex is ). The x value of its largest…

A: Vertex of quadratic equation is the highest or lowest pointy of the quadratic equation . Let we have…

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function : f(x) =…

A: Here given an equation of the parabola

Q: Find the quadratic function y= ax + bx +c whose graph passes through the given points. (1,- 3),…

A:

Q: The graph of the quadratic function f(x) = cx2 + d has a vertex at (0,7) and passes through the…

A: Given quadratic function is- fx=cx2+d Since, y=fx Hence, y=cx2+d Since, the graph has a vertex at…

Q: The vertex of a parabola is located at (−5, 6). If the parabola has a y-intercept of (0, 231), which…

A:

Q: Which quadratic function has it's vertex at (-2,7) and opens down? a. y = -3(z + 2)² + 7 %3D b. y =…

A: Find which quadratic equation has its vertex at (-2,7) and opens down.

Q: Based on data from a research group, a model for the total stopping distance of a moving car in…

A:

Q: Find the quadratic function f(x) = ax2 + bx + c for which f(-1) = 5, f(1) = 3, and f(2) = 5.

A:

Q: Rewrite the quadratic function in standard form. h(x) = 2x2 + 4x - 11 %3D h(x) Give the vertex. (x,…

A: Standard form of quadratic function is  f(x)=a(x-h)2+k  whose vertex is (h,k) Convert the quadratic…

Q: Based on data from a research group, a model for the total stopping distance of a moving car in…

A:

Q: A ball is kicked and after 2 seconds it reaches a maximum height of 21 m. At 3 seconds it reaches a…

A: 1.We can solve the problem by simply substituting the values as we can see that they gave 2…

Q: Use the vertex (h, k) and a point on the graph (z, y) to find the Standard Form ( f(x) = a(x – h)' +…

A:

Q: Use the vertex (h, k) and a point on the graph (x, y) to find the Standard Form ( f(x) = a(x − h)² +…

A:

Q: Find the quadratic function y=ax2+bx+c whose graph passes through the given points ​(−1​,−16​),…

A:

Q: Find the quadratic function y = ax + bx +c whose graph passes through the given points. (1, - 1), (-…

A: To form the quadratic equation from points (1,-1),(-1,-5),(2,10)

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function : f(x) =…

A: Equation of parabola: f(x)=a(x-h)2+k Where (h, k) is the vertex of parabola.

Q: The vertex of the parabola f(x) =(x+3) - 4 is а) (-3, -4) b) (3, -4) с) (3, 4) d) (-3, 4)

A:

Q: Find the x- and y-intercepts of the graph of the quadratic function. 1.      f(x) = x2 − 6x − 27

A:

Q: Please confirm if the selected answer is correct ?

A:

Q: Use the vertex (h, k)and a point on the graph (x, y) to find the general form of the equation of the…

A: To find:- Use the vertex (h, k)and a point on the graph (x, y) to find the general form of the…

Q: Find, in the form y = ax2 + bx + c, the equation of the quadratic function whose graph: a touches…

A:

Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x²-8x+7. If there is…

A: The given equation is;  y=x2-8x+7.

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A:

Q: Which quadratic function has it's vertex at (-2,7) and opens down? a. y = -3(z + 2)² +7 b. y = -12(z…

A: To find the quadratic equation

Q: Find the point on the parabola (y = x2/2) that is closest to the point (-4,1)

A: Use distance formula to evaluate

Q: rewrite the quadratic function in standard form.  h(x)= 2x^2 +4x-10  h(x)= give the vertex…

A:

Q: Find the quadratic function y = ax? + bx + c whose graph passes through the given points. (1,7), (–…

A: By satisfying the function with given points  we will obtain the system of linear equations and…

Q: 3) Find the vertex of the parabola f(x) = 4x² + 40x+104. Write in correct (x, y) form.

A:

Q: Use the vertex (h, k) and a point on the graph (x, y) to find the general form of the equation of…

A:

Q: Find the quadratic function y = ax+ bx + c whose graph passes through the given points. (1, - 4), (-…

A:

Q: Find the quadratic function y = ax + bx +c whose graph passes through the given points. (1, – 1), (–…

A:

Q: Determine the x-intercept(s) of the quadratic function f(x)=x²+ 8x+ 12. (-6, 0), (–5, 0) no…

A:

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function. 2(x -…

A:

Q: find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x) =…

A: The equation for a parabola is written in vertex form as, In vertex form the vertex is given as…

Q: 50. (h, k) = (3, 2), (x, y) = (10, 1) %3D %D

A: the general form of the equation of the quadratic function

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x)…

A: The quadratic function is given by fx = 2x-32+1 To evaluate : The vertex of the parabola defined by…

Q: Define a quadratic function y = f(x) that satisfies the given conditions. Vertex (-5, 5) and passes…

A:

Q: Let h(z) = -2z 2 + 12z + 3. Complete the square and find the maximum value of h.

A:

Q: Sketch the parent quadratic y = x2, and the graph of y = g(x)on the same axes. Then write down the…

A: The parent function y=x2a) g(x)=(x+3)2 b) g(x)=-x2+4c) g(x)=14x2d) g(x)=2(x-4)2-3

Q: Find the quadratic function f(x) = ax2 + bx + c for which f(-2) = -4, f(1) = 2, and f(2) = 0.

A: fx=ax2+bx+c,  f-2=-4,  f1=2  and f2=0. Now put f-2=-4 in fx=ax2+bx+c, we get…

Q: Find the standard form f(x) = a(x – h)² +k__of the quadratic function that has a vertex at and an X…

A: Given that: vertex =-12,-19 and x-intercept =-32,0. To find the standard form of the quadratic…

Q: Consider the quadratic function f(x)=x2−1x−6. The line of symmetry has the equation:

A: Given quadratic equation is,f(x)=x2−1x−6.For any quadratic equation of the form ax2+bx+c, the axis…

Q: the vertex of Quadratic function f( x) = 2x2 - 4x + 1 is : Select one: a. (1,-1) b. (-1,1) c. (-1,…

A: Given : f(x) = 2x2 - 4x + 1 Vertex of f(x) = ?

Q: Find the quadratic function y = ax+ bx + c whose graph passes through the given points. (-1,14),…

A:

Q: Consider the Quadratic Function y + 6x – 8 - a. Coordinates of the vertex: b. Coordinates of the…

A:

Q: The quadratic function f (x) = 2x2 - 8x + 6 %3D opens [ Select ] * with a y-intercept Select] and an…

A: By sketching graph

Q: C. Transform the Standard Quadratic function to vertex form.Show your solution 1. )= 4x² +8x – 6 2.…

A:

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.