AnswersAlgebra IITransformations of Quadratic Functions

Transformations of Quadratic Functions — Quiz Answers

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What is the first step when rewriting y is equal to 6 x squared plus 18 x plus 14 in the form y is equal to A times open paren x minus h close paren squared plus k ?

A
16 must be factored from 18 x plus 14
B
6 must be factored from 6 x squared plus 18 x
C
6 must be factored from 6 x squared plus 14
D
x must be factored from 6 x squared plus 18 x
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Which equation is y is equal to open paren x plus 3 close paren squared plus open paren x plus 4 close paren squared rewritten in vertex form?

A
y is equal to 2 times open paren x plus 7 halves close paren squared plus 1 half
B
y is equal to open paren x plus 7 close paren squared minus 24
C
y is equal to 2 times open paren x plus 7 close paren squared minus 73
D
y is equal to 2 times open paren x plus 7 halves close paren squared minus 1 fourth
3

What is the first step when rewriting y is equal to negative 4 x squared plus 2 x minus 7 in the form y is equal to A times open paren x minus h close paren squared plus k ?

A
x must be factored from negative 4 x squared plus 2 x
B
negative 4 must be factored from negative 4 x squared minus 7
C
negative 4 must be factored from negative 4 x squared plus 2 x
D
2 must be factored from 2 x minus 7
4

Which equation has a graph that is a parabola with a vertex at open paren negative 2 comma 0 close paren ?

A
y is equal to open paren x plus 2 close paren squared
B
y is equal to negative 2 x squared
C
y is equal to open paren x minus 2 close paren squared
D
y is equal to x squared minus 2
5

What is the first step when rewriting y is equal to 3 x squared plus 9 x minus 18 in the form y is equal to A times open paren x minus h close paren squared plus k ?

A
3 must be factored from 3 x squared plus 9 x
B
3 must be factored from 3 x squared minus 18
C
x must be factored from 3 x squared plus 9 x
D
9 must be factored from 9 x minus 18
6

Which equation is y is equal to 6 x squared plus 12 x minus 10 rewritten in vertex form?

A
y is equal to 6 times open paren x plus 1 close paren squared minus 16
B
y is equal to 6 times open paren x plus 1 close paren squared minus 10
C
y is equal to 6 times open paren x plus 1 close paren squared minus 4
D
y is equal to 6 times open paren x plus 1 close paren squared minus 11
7

Which equation is y is equal to 2 x squared minus 8 x plus 9 rewritten in vertex form?

A
y is equal to 2 times open paren x minus 2 close paren squared plus 5
B
y is equal to 2 times open paren x minus 2 close paren squared plus 9
C
y is equal to 2 times open paren x minus 2 close paren squared plus 17
D
y is equal to 2 times open paren x minus 2 close paren squared plus 1
8

Which equation is y is equal to negative 3 x squared minus 12 x minus 2 rewritten in vertex form?

A
y is equal to negative 3 times open paren x minus 2 close paren squared plus 10
B
y is equal to negative 3 times open paren x plus 2 close paren squared plus 10
C
y is equal to negative 3 times open paren x plus 2 close paren squared minus 14
D
y is equal to negative 3 times open paren x minus 2 close paren squared minus 2
9

Which equation has a graph that is a parabola with a vertex at open paren negative 1 comma negative 1 close paren ?

A
y is equal to open paren x plus 1 close paren squared plus 1
B
y is equal to open paren x plus 1 close paren squared minus 1
C
y is equal to open paren x minus 1 close paren squared minus 1
D
y is equal to open paren x minus 1 close paren squared plus 1

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