AnswersCMS 2026-2027 NC Math 2 CREDIT RECOVERYCompleting the Square (Continued)

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1
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Which statement is true concerning the vertex and the axis of symmetry of g of x is equal to 5 x squared minus 10 x ?

A
The function written in vertex form is g of x is equal to 5 times open paren x minus 1 close paren squared minus 5 . The vertex is at 1 comma negative 5 and the axis of symmetry is x is equal to 1 .
B
The vertex is at 1 comma negative 5 and the axis of symmetry is y is equal to 1 .
C
The vertex is at 0 comma 0 and the axis of symmetry is x is equal to 1 .
D
The vertex is at 0 comma 0 and the axis of symmetry is y is equal to 1 .
2
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What is the vertex of g of x is equal to negative 3 x squared plus 18 x plus 2 ?

A
3 comma negative 25
B
negative 3 comma negative 25
C
negative 3 comma 29
D
3 comma 29
3

What is f of x is equal to 8 x squared plus 4 x written in vertex form?

A
f of x is equal to 8 times open paren x plus 1 half close paren squared minus 4
B
f of x is equal to 8 times open paren x plus 1 half close paren squared minus 2
C
f of x is equal to 8 times open paren x plus 1 fourth close paren squared minus 1 over 16
D
f of x is equal to 8 times open paren x plus 1 fourth close paren squared minus 1 half
6

What is f of x is equal to 2 x squared plus 28 x minus 5 written in vertex form?

A
f of x is equal to 2 times open paren x plus 14 close paren squared minus 14
B
f of x is equal to 2 times open paren x plus 7 close paren squared minus 103
C
f of x is equal to 2 times open paren x plus 14 close paren squared minus 98
D
f of x is equal to 2 times open paren x plus 7 close paren squared minus 19
7

What is the vertex of g of x is equal to 8 x squared minus 64 x ?

A
negative 4 comma negative 16
B
4 comma negative 16
C
negative 4 comma negative 128
D
4 comma negative 128
8

What is the vertex of g of x is equal to 8 x squared minus 48 x plus 65 ?

A
24 comma negative 7
B
negative 3 comma negative 7
C
negative 24 comma negative 7
D
3 comma negative 7
9

Which statement is true concerning the vertex and axis of symmetry of h of x is equal to negative 2 x squared plus 8 x ?

A
The vertex is at 0 comma 0 and the axis of symmetry is x is equal to 2 .
B
The vertex is at 2 comma 2 and the axis of symmetry is y is equal to 2 .
C
The vertex is at 2 comma 8 and the axis of symmetry is x is equal to 2 .
D
The vertex is at 0 comma 0 and the axis of symmetry is y is equal to 2 .
10

What is the first step in writing f of x is equal to 6 x squared plus 5 minus 42 x in vertex form?

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

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