Write an equation in standard form of the parabola that has the same shape as the graph of f(x)= 8x2 or g(x)= -8x2 , but with the given maximum or minimum. Maximum = 7 at x= -4 h(x) =

Q: Write an equation in vertex form of the parabola that has the same shape as the graph of f(x) = 9x²,…

A: Given query is to find the equation of the parabola.

Q: Write an equation in vertex form of the parabola that has the same shape as the graph of f(x) = 9x²,…

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Q: Write the equation of the parabola that has the same shape as f(x) = - 7x but with vertex (- 6,4) in…

A: Topic- equation of parabola

Q: Select the graph of the quadratic function below. Glve the minimum or maximum value and the axis of…

A: Consider g(x)=x2-4. Now g(0)=02-4=0-4=-4 So the graph of the function passes through (0,-4). Only…

Q: Write an equation in vertex form of the parabola that has the same Shape as the graph of f(x) =3x^2…

A: Only replace the x and y by appropriate variables as given in the question.

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

A: Rewrite the given equation as follows.

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: A parabola that has the same shape as the graph of f(x) = 2x2, is f(x) = 2(x-h)2 + k with h units…

Q: Write an equation in vertex form of the parabola that has the same shape as the graph of f(x)= 4x²…

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Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

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Q: 5. Write the equation of a parabola that takes a maximum value of 4 at r = -2.

A: We need to find equation of parabola.

Q: The graph of a quadratic function has y-intercept (0,7) and x-intercepts (1,0) and (7,0). Find the…

A: General form of a quadratic equation isy = ax + bx + c1st point:   (0,7) ⇒ x = 0, y = 7…

Q: Write the equation of the parabola that has the same shape as f(x) = - 6x? but with vertex ( - 5,3)…

A: In this question we have to write the equation of the parabola that has the same shape as f(x)=-6x2…

Q: Write an equation in vertex form of the parabola that has the same shape as the graph of f(x) = 9x²,…

A:

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

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Q: Determine the vertex of the parabola. f(x)=x2-20x+106

A: Consider the given equation.

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 2x…

A: Let the standard form of parabola is y=A(x-a)2+b ⇒h(x)=A(x-a)2+b, where (a, b)is the vertex. Value…

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: Given

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: In the question it is asked to form a parabolic equation in which the graph should have maximum…

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x)= 2x…

A: Since the parabola has a maximum so it must have a negative leading coefficient.  So it will be of…

Q: 18. Write the equation of a parabola with the shape as f(x)=-2x² but with the vertex (-3, 2).

A: Please refer the attached image for complete solution.

Q: Write the equation of the parabola that has the same shape as f(x) = - 6x but with vertex (- 5,3) in…

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Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

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Q: Write an equation in intercept form of the parabola that passes through the point (3, 40) and has…

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Q: Find a formula for the quadratic function whose graph has vertex (-2,5) and y-intercept -6. f(x) = .…

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Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 3x…

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Q: An architect is designing a museum entranceway in the shape of a parabolic arch represented by the…

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Q: The water from an outdoor fountain follows a path that is shaped like a parabola. The arch created…

A: Given - The water from an outdoor fountain follows a path that is shaped like a parabola. The arch…

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 3x…

A: given equations are                                                           f(x)=3x2g(x)=-3x2…

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 4x…

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Q: h f(x) = 6x² or g(x) = -6x²,

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Q: Write an equation of a parabola that has a vertex (3, 8), opens downward, and is congruent in shape…

A: All the parabola having same distance between focus and directrix is called to be congruent .Suppose…

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 6x…

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Q: Find the relative minimum point, maximum point, point of inflection and Sketch the graph of the…

A: Here, we need to find the relative minimum point, maximum point, point of inflection of the function…

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: We know that the standard form of parabola  y = a(x-h)^2 + k

Q: Write the equation of the parabola that has the same shape as f(x) = - 10x but with vertex (5,7) in…

A:

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Find the vertex of the parabola f (x) = -2x2 - 24x - 69.

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Q: Identify the vertex of the parabola F(x) = (x - 9)2 - 7

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Q: intercepts

A: The x-intercepts are 5 & -3, i.e. the points are P(-3,0) & Q(5,0)  So, the maximum value…

Q: Write an equation for a parabola that is congruent to the graph of y = x2, opens downward, and has…

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Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A:

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: Solution:- we have to write an equation in standard form of the parabola that has the same shape as…

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 8x…

A: Here we have to write an equation in standard form of the parabola that has the same shape as the…

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A:

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: Minimum value is 0 at x=11. Since we need minimum value, therefore the parabola must be an upward…

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A:

Q: Find an equation of the parabola that is symmetric about x-axis, has its vertex at the origin and…

A: Since we know that standard equation of the parabola that is symmetric about the x-axis and has…

Q: Write the equation in the standard form of the parabola that has the same shape as the graph of…

A: Write the standard form of parabola and maximise at x=3.

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: We have, fx=3x2 The above equation represents the upward parabola with vertex 0,0, Therefore minimum…

Q: Write an equation of the parabola in intercept form. 14. x-intercepts of 3 and -4; passes through…

A: equation of the parabola in intercept form is given below- y=a*(x-p)*(x-q) where p,q are intercepted…

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.