Completing the Square (Continued)

Question 1

What is the first step in writing f(x) = 3x2 + 6x – 8 in vertex form?

Revolt · Accepted Answer

D: Factor out 3 from the first two terms.

Question 2

✔ (–3, –45), minimum(–3, 45), maximum(3, –45), minimum(3, 45), maximum

Revolt · Accepted Answer

A: ✔ (–3, –45), minimum

Question 3

What is true about the transformation that was performed? Check all that apply.

Revolt · Accepted Answer

A: g(x) has an axis of symmetry at x = 3.; C: g(x) is shifted right 3 units from the graph of f(x).; D: g(x) is shifted up 4 units from the graph of f(x).

Question 4

What is h(x) = –3x2 – 6x + 5 written in vertex form?

Revolt · Accepted Answer

B: h(x) = –3(x + 1)2 + 8

Question 5

Which functions have a maximum and are transformed to the left and down of the parent function, f(x) = x2? Check all that apply. p(x) = 14(x + 7)2 + 1q(x) = –5(x + 10)2 – 1s(x) = –(x – 1)2 + 0.5g(x) = 2x2 + 10x – 35t(x) = –2x2 – 4x – 3

Revolt · Accepted Answer

B: q(x) = –5(x + 10)2 – 1; E: t(x) = –2x2 – 4x – 3

Question 6

When Nick checked his work it did not match the standard form function. Analyze Nick’s work. What was his mistake?

Revolt · Accepted Answer

C: In step 3, he did not subtract –7(9) to keep the function equivalent.

Question 7

x = –45✔ x = –3x = 3x = 45

Revolt · Accepted Answer

B: ✔ x = –3

Question 8

Write g(x) = 4x2 + 88x in vertex form.

Revolt · Accepted Answer

: 82577; : -484

Question 9

Question 9

Revolt · Accepted Answer

-484

Question 10

Write p(x) = 21 + 24x + 6x2 in vertex form.

Revolt · Accepted Answer

p(x) = (x + )2 –: 6; p(x) = (x + )2 –: 2; p(x) = (x + )2 –: 3

Completing the Square (Continued) Answers

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