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

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 function represented by the parabola in vertex form and in the form y =…

A: Given points vertex (-1,-6)(0,-4)

Q: The vertex of the parabola f(x)= x2 + 16x + 6 is 0(-16,-40) O (-8,-52) O (-24,-58) O (-16,-58) O…

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Q: Find the vertex of the parabola. f(x) = 2x + 16x + 39 (х, у) %3

A: We have to find vertex

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: 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,…

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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: The vertex of the parabola f(x) = x² + 6x + 5 is о (-3, -4) О (-9, —4) О (-6, —4) о (-3,1) о (-6, —…

A: Find the vertex of the parabola of the function y=f(x)

Q: Find the vertex of the parabola answer must be an ordered pair F(x)=2x2-8x+3

A: We will find the vertex by comparing with standard form of quadratic parabola.

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: Given f(x) = x² – 16x + 55, a. Does the graph of the parabola open upward or downward? b. Find the…

A: Given f(x)=x2-16x+55 Let y=f(x) Then y=x2-16x+55…

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: 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: Determine the a coefficient of the following quadratic equation and determine if this quadratic has…

A: In this question, we find the coefficient of the quadratic function and check the function is…

Q: The vertex of the parabola f(x) =-(z-9)² + 2 is

A: Given function of parabola is, f(x) = -(x-9)2+2

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

A: solution.

Q: find the vertex of the parabola. y=-3x2+10

A: Given equation : y=-3x2+10compare with y=ax2+bx+ca=-3b=0c=10

Q: Graph the parabola and find its vertex and the axis of the parabola. f(x) = - (x + 4)² %3D

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Q: The vertex of the parabola f(x) = x2 + 14x + 4 is о (-21, -45) о (-7, -45) о (-14, -21) о (-14, —45)…

A: The given parabolic equation is   f(x) = x2 + 14x + 4 the given equation of parabola is in the…

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

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Q: Write the equation of the parabola that has the same shape as f(x) = - 9x but with vertex (2,7) in…

A: Given, y=g(x)= -9x² Therefore, a=-9

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

A: Consider the given equation of the parabola.

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: The vertex of the parabola of f(x)= x²+8x is

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

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

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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: The vertex of the parabola f(x) = x² + 10x + 6 is о (-5, —13) о (-5, —19) о (-10, —19) о (-10, — 25)…

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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: The vertex of the parabola f(x) = x² + 14x + 4 is о (-7, -41) о (-21, —45) о (-14, -45) о (-7, -45)…

A: As we know that the vertex of a parabola f(x)=ax2+bx+c is : Vertex=-b2a,f-b2a

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: Identify the vertex of the parabola. y=x-12x+43

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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: Find the vertex for the parabola. Then determine a reasonable viewing rectangle on your graphing…

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

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

A: The vertex form of the parabola, y=a(x-h)2+k, where (h,k) is the vertex  Here, (h,k)=(7,4) The given…

Q: Write the equation of the parabola that has the same shape as f(x) = - 4x but with vertex (7,3) in…

A: The solution is as shown below

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x)= 8x2…

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

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.