AnswersAZ-Algebra 1A MA101Point-Slope Form of a Line

Completing the Square Answers

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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
2
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An algebra tile configuration. Only the Product spot is shown. 9 tiles are in the Product spot in 5 columns with 5 rows. First row: 1 + x squared, 4 + x. Below the + x squared tile are 4 +x tiles.

Question illustration
A
4
B
8
C
16
D
64
3

Which statements are true about the graph of the function f(x) = 6x – 4 + x2? Select two options.

Question illustration
A
The vertex form of the function is f(x) = (x – 2)2 + 2.
B
The vertex of the function is (–3, –13).
C
The axis of symmetry for the function is x = 3.
D
The graph increases over the interval (–3, ).
Option D
E
The function does not cross the x-axis.
4

Charla wants to determine the vertex of the function f(x) = x2 – 18x + 60 by changing the function into vertex form. Which statement about the vertex of the function is true?

A
The x-coordinate of the vertex is greater than the y-coordinate.
B
The x-coordinate of the vertex is negative.
C
The y-coordinate of the vertex is greater than the y-intercept.
D
The y-coordinate of the vertex is positive.
5

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
6

Which values for h and k are used to write the function in vertex form?

Question illustration
A
h=6, k=36
B
h=−6, k=−36
C
h=6, k=30
D
h=−6, k=−30
7

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
8

What are the coordinates of the vertex of the function f(x)=x2+10x−3?

A
(–5, –28)
B
(–5, 28)
C
(5, –28)
D
(5, 28)
9

An algebra tile configuration. Only the Product spot is shown. 15 tiles are in the Product spot in 6 columns with 6 rows. First row: 1 + x squared, 5 negative x. Below the + x squared tile are 5 negative x tiles. Off to the right are 4 negative tiles in a separate column.

Question illustration
A
4
B
10
C
21
D
25
10

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

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