Completing the Square (Continued) Answers

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The function p(x) = 6x2 + 48x written in vertex form is p(x) = 6(x + 4)2 – 96. Which statements are true about the graph of p? Check all that apply. The axis of symmetry is the line x = –4.The graph is narrower than the graph of f(x) = x2.The parabola has a maximum.The parabola opens down.The value of k is –96, so there is a vertical shift down 96 units.

A
The axis of symmetry is the line x = –4.
B
The graph is narrower than the graph of f(x) = x2.
C
The parabola has a maximum.
D
The parabola opens down.
E
The value of k is –96, so there is a vertical shift down 96 units.
3

–128–1616128

A
–128
B
–16
C
16
D
128
4

down 4left 4right 4up 4

A
down 4
B
left 4
C
right 4
D
up 4
5

down 128left 128right 128up 128

A
down 128
B
left 128
C
right 128
D
up 128
6

What is f(x) = 8x2 + 4x written in vertex form?

A
f(x) = 8 –
Option A
B
f(x) = 8 –
Option B
C
f(x) = 8 – 2
Option C
D
f(x) = 8 – 4
Option D
7

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

A
The vertex is at (0, 0) and the axis of symmetry is x = 2.
B
The vertex is at (0, 0) and the axis of symmetry is y= 2.
C
The vertex is at (2, 8) and the axis of symmetry is x = 2.
D
The vertex is at (2, 2) and the axis of symmetry is y = 2.
8

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

A
Factor 6 out of each term.
B
Factor 6 out of the first two terms.
C
Write the function in standard form.
D
Write the trinomial as a binomial squared.
9

Which is one of the transformations applied to the graph of f(x)=x2 to produce the graph of g(x)=2x2−28x+3?

A
shifted up 3 units
B
shifted left 7 units
C
shifted right 7 units
D
shifted down 3 units
10

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

A
(4, –128)
B
(–4, –128)
C
(4, –16)
D
(–4, –16)

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