For each quadratic function below, use the idea of completing the square to write it in graphing form. Then state the vertex of each parabola. i) a. f(x)=x2+6x+15    b. y=x2−4x+9   ii) a. f(x)=x2+8x     b. y=x2+5x−2

Q: Complete the square and find the minimum or maximum value of the quadratic function y=x^2+4x+5…

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Q: Use the vertex and intercepts to graph the quadratic function f (x) = -x² + 2x + 3.

A: Here I will first find the intercepting points then I will draw this graph using this intercepts and…

Q: Find the vertex for the parabola y = -4x2 + 20x + 160. Then determine a reasonable viewing rectangle…

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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: Complete the square to re-write the quadratic function in vertex for. y = x´ + 10x + 8

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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: Use the method of completing the square to express f(x) = 3x - 24x + 58 in vertex form. %3D

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Q: Given the set of quadratic functions, complete the table of values of x and y and then draw their…

A: This is a problem related to the plotting graph function by x and y values. Please follow the…

Q: The daily profit in dollars of a specialty cake shop is described by the function…

A: Given:

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

A: We have to find vertex

Q: Complete the following questions and submit them to the dropbox. 1. Find the minimum value of the…

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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 for the quadratic graphed below Zeros at x = 3; y-intercept: (0,12)

A: Topic:- function

Q: Use a graphing calculator to determine the quadratic equation for each set of three points that lie…

A: Here based on the general equation of the parabola we will calculate the quadric equation of…

Q: Complete the square to re-write the quadratic function in vertex form: y = x + x – 2

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Q: Suppose f (x) = x² + 2x + 1. Find the vertex, vertical intercept, and x-intercepts of this quadratic…

A: The objective of the question is evaluate vertex , vertical intercept and  x-intercept.

Q: Solve for the range and axis of symmetry of the given quadratic functions

A: To Solve for the range and axis of symmetry of the given quadratic functions4) y=x2+5x-145)…

Q: Complete the square to re-write the quadratic function in vertex form: y = x + 4x + 4

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Q: 2. Rewrite the quadratic function y= x²+5x-4 in vertex form.

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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: For the quadratic function y = 2x2 − 20x + 52, what are the coordinates of the vertex?

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Q: A retailer who sells backpacks estimates that by selling them for x dollars each, she will be able…

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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) in…

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Q: Solve for the zeroes of f(x) = x* - 4x2 and sketch the graph %3D

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Q: A retailer who sells backpacks estimates that, by selling them for x dollars each, he will be able…

A: Given: A retailer who sells backpacks estimates that, by selling them for x dollars each, he will be…

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 parabola f(x) = −2x² − 4 can be graphed = −x² downward by 4 by shifting the graph of y = units.…

A: graph

Q: Complete the square and find the minimum or maximum value of the quadratic function. y = −9x2 + x

A: A parabola with equation of the form y=a(x-h)2+k has vertex at (h,k) and opens up or down. If it…

Q: Determine the quadratic equation that has zeroes at -4 and 11, if f(-3)=56. Show all your work.

A: We have to determine the quadratic equation that has zeros at -4 and 11 If f(-3) = 56

Q: A soccer ball is hit from the ground and lands 12 meters away from where it was hit. Further- more,…

A: Solve the given problem

Q: b) Determine the concavity, Y-Intercept, X- intercept of the quadratic equation And sketch the…

A: Clearly shows the turning poin of the quadratic equation is (10, -50)

Q: Determine the equation in standard form of the quadratic function shown. mx tb 3=-3+3

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Q: Find the vertex of f(x) = x² – 6x + 3 by completing the square. Show your work.

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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: Complete the square to re-write the quadratic function in vertex form: y = x + 4x – 2 -

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Q: Complete the square and find the minimum or maximum value of the quadratic function y=3x^2+3x+4…

A: Consider the equation: y=3x2+3x+4……1

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 standard form of the quadratic function whose graph is a parabola with the given vertex…

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Q: Suppose a particular solar trough has width 180 cm and depth 56 cm. Determine the quadratic function…

A: Answer is mentioned below

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: Complete the square to re-write the quadratic function in vertex form: y = x² – x – 1

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Q: What is the correct quadratic function for this parabola?

A: Note: General equation of parabola is y-k = 4a(x-h)^2 and x-h = 4a(y-k)^2  Vertex for both the form…

Q: Complete the square to re-write the quadratic function in vertex form: y = x² + 2x + 3

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Q: Determine the quadratic function whose graph is gven below. (Simpity your answer) (-1, -io

A: Given:

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

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Q: Write the quadratic function c(x) =x² +6x + 14 in vertex form.

A: Given: cx=x2+6x+14 To Find: Write the quadratic function in the vertex form. Concept: for any…

Q: 5. Complete the square and write into graphing form: a. y= x² – 2x +2 b. y = 2x – 4x - -

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

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Q: Determine the quadratic formula f whose graph is given. The vertex is (2,-4) and the other given…

A: We can use the concept of quadratic equation in vertex form.

Q: Find the vertex for the parabola y = 0.01x2 + 0.6x + 100. Then determine a reasonable viewing…

A: Given: y=0.01x2+0.6x+100  To determine: The vertex for the given parabola & graph of the given…

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.