AnswersAlgebra ICompleting the Square (Continued)

Completing the Square (Continued) — Quiz Answers

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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 fourth close paren squared minus 1 half
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 half close paren squared minus 2
3

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

A
negative 3 comma negative 7
B
3 comma negative 7
C
24 comma negative 7
D
negative 24 comma negative 7
4

The function g of x is equal to 10 x squared minus 100 x plus 213 written in vertex form is g of x is equal to 10 times open paren x minus 5 close paren squared minus 37 Which statements are true about g of x ? Choose three correct answers.

A
The value of A , when the equation is written in vertex form, is negative.
B
The parabola opens up.
C
The axis of symmetry is the line x is equal to negative 5 .
D
The parabola has a minimum.
E
The vertex of the graph is 5 comma negative 37 .
5

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 98
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 14
D
f of x is equal to 2 times open paren x plus 7 close paren squared minus 19
6

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 0 comma 0 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 2 comma 2 and the axis of symmetry is y is equal to 2 .
7

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
3 comma 29
D
negative 3 comma 29
8

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 vertex is at 0 comma 0 and the axis of symmetry is y is equal to 1 .
B
The vertex is at 0 comma 0 and the axis of symmetry is x is equal to 1 .
C
The vertex is at 1 comma negative 5 and the axis of symmetry is y is equal to 1 .
D
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 .
9

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
Factor 6 out of each term.
D
Write the function in standard form.
10

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

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

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