Completing the Square

Question 1

Write g(x) = 4x2 + 88x in vertex form. The function written in vertex form is g(x) = (x +11)2 + .

Revolt · Accepted Answer

Part 1: 4; Part 2: -484

Question 2

Question 3

Revolt · Accepted Answer

3

Question 3

Question 4

Revolt · Accepted Answer

Jennifer’s

Question 4

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

Revolt · Accepted Answer

Factor out 3 from the first two terms.

Question 5

Question 6

Revolt · Accepted Answer

(–3, –45), minimum

Question 6

Write p(x) = 21 + 24x + 6x2 in vertex form. p(x) = (x + )2 –

Revolt · Accepted Answer

6; Selection 1: 6; Selection 2: 2; Selection 3: 3

Question 7

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

Revolt · Accepted Answer

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

Question 8

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

Revolt · Accepted Answer

h(x) = –3(x + 1)2 + 8

Question 9

Which functions have a maximum and are transformed to the left and down of the parent function, f(x) = x2? Check all that apply.

Revolt · Accepted Answer

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

Question 10

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

Revolt · Accepted Answer

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

Completing the Square Answers