Completing the Square (Continued) Answers

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3

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

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

What is the vertex of g(x) = 3x2 − 12x + 7?

A
(−6, −5)
B
(−2, −5)
C
(2, −5)
D
(6, −5)
5

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

A
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.
B
The vertex is at (1, –5) and the axis of symmetry is y = 1.
C
The vertex is at (0, 0) and the axis of symmetry is x = 1.
D
The vertex is at (0, 0) and the axis of symmetry is y = 1.
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

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?

A
The graph of f(x) = x2 is made narrower.
B
The graph of f(x) = x2 is shifted right 6 units.
C
The graph of f(x) = x2 is shifted down 48 units.
D
The graph of f(x) = x2 is reflected over the y-axis.
9

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.
10

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

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