Completing the Square (Continued)

Question 1

Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = –3x2 – 36x – 60?

Revolt · Accepted Answer

The graph of f(x) = x2 is made narrower.

Question 2

What is f(x) = 2x2 + 28x – 5 written in vertex form?

Revolt · Accepted Answer

f(x) = 2(x + 7)2 – 103

Question 3

The function g(x) = 10x2 – 100x + 213 written in vertex form is g(x) = 10(x – 5)2 – 37. Which statements are true about g(x)? Select three options.The axis of symmetry is the line x = –5.The vertex of the graph is (5, –37).The parabola has a minimum.The parabola opens up.The value of a, when the equation is written in vertex form, is negative.

Revolt · Accepted Answer

The vertex of the graph is (5, –37).; The parabola has a minimum.; The parabola opens up.

Question 4

Which statement is true concerning the vertex and the axis of symmetry of g(x)=5x2−10x?

Revolt · Accepted Answer

The function written in vertex form is g(x)=5(x−1)2−5. The vertex is at (1, –5) and the axis of symmetry is x=1.

Question 5

Which function has a minimum and is transformed to the right and down from the parent function, f(x) = x2?

Revolt · Accepted Answer

g(x) = 8(x – 3)2 – 5

Question 6

What is the first step in writing f(x) = 6x2 + 5 – 42x in vertex form?

Revolt · Accepted Answer

Write the function in standard form.

Question 7

Which statement is true concerning the vertex and axis of symmetry of h(x)=−2x2+8x?

Revolt · Accepted Answer

The vertex is at (2, 8) and the axis of symmetry is x = 2.

Question 8

What is the axis of symmetry of h(x) = 5x2 + 40x + 64?

Revolt · Accepted Answer

x = −4

Question 9

What is the vertex of g(x) = 8x2 – 64x?

Revolt · Accepted Answer

(4, –128)

Question 10

What is the vertex of g(x) = –3x2 + 18x + 2?

Revolt · Accepted Answer

(3, 29)

Completing the Square (Continued) Answers

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