AnswersPA PCS Math 1 2026 Fall Sem XRQuadratic Functions: Standard Form

Completing the Square Answers

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Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 + 2x +1?

A
right 1 unit
B
left 1 unit
C
right 2 units
D
left 2 units
2
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An algebra tile configuration. Only the Product spot is shown. 8 tiles are in the Product spot in 4 columns with 4 rows. First row: 1 + x squared, 3 negative x. Second row: 1 negative x, 1 +. Third and fourth rows: 1 negative x.

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A
1
B
6
C
8
D
9
3

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = –8x + x2 + 7 ?

A
left 4, down 9
B
left 4, up 23
C
right 4, down 9
D
right 4, up 23
4

Which function in vertex form is equivalent to f(x) = x2 + 8 – 16x?

A
f(x) = (x – 8)2 – 56
B
f(x) = (x – 4)2 + 0
C
f(x) = (x + 8)2 – 72
D
f(x) = (x + 4)2 – 32
5

Which function in vertex form is equivalent to f(x) = 4 + x2 – 2x?

A
f(x) = (x – 1)2 + 3
B
f(x) = (x – 1)2 + 5
C
f(x) = (x + 1)2 + 3
D
f(x) = (x + 1)2 + 5

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