Answers26MATH_Recovery_Alg1B22Quadratic Functions: Vertex Form

Completing the Square Answers

0 verified answers3 views
1
Free Preview

What are the coordinates of the vertex of the function f(x) = x2 − 12x + 5?

A
(6, 31)
B
(−6, 31)
C
(6, −31)
D
(−6, −31)
2
Free Preview

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
3

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.
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

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
6

Which function in vertex form is equivalent to f(x) = x2 + 6x + 3?

A
f(x) = (x + 3)2 + 3
B
f(x) = (x + 3)2 − 6
C
f(x) = (x + 6)2 + 3
D
f(x) = (x + 6)2 − 6
7

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
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

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
10

The vertex form of a function is g(x) = (x – 3)2 + 9. How does the graph of g(x) compare to the graph of the function f(x) = x2?

A
g(x) is shifted 3 units left and 9 units up.
B
g(x) is shifted 3 units right and 9 units up.
C
g(x) is shifted 9 units left and 3 units down.
D
g(x) is shifted 9 units right and 3 units down.

Did you find these answers helpful?