Practice Page

Directions: Read carefully.

1.
Given the function f (x) = 3x.
If f (x) is increased by 5 units, the graph of the new function will be shifted 5 units
_________.

Choose:
right
left
up
down

 

`

2.
The minimum point on the graph of f (x) is (-2,-6).
What is the minimum point on the graph of the function
f (x) - 4?

Choose:
(2,-6)
(-6,-6)
(-2,-10)
(-2,-2)

 

 

3.
Given f (x) = -2x + 3. If g(x) = f (x) - 8, which choice represents the re-write for g(x)?

Choose:
g(x) = -2x + 11
g(x) = -10x + 3
g(x) = -2x - 5 g(x) = 6x + 3

 

 

4.
Given f (x) = 2x and g(x) = 2x - 4.
Which transformation of f (x) results in g(x)?

Choose:
(x, y) → (x, y - 4)
(x, y) → (x, y + 4)
(x, y) → (x - 4, y) (x, y) → (x + 4, y)

 

 

5.
Given f (x) = (x - 1)2 and g(x) = (x - 4)2.
When compared to f (x), the graph of g(x) is
Choose:
shifted 3 units to the right
shifted 3 units to the left
shifted 4 units to the right
shifted 4 units to the left

 

 

6.
Given f (x) = x2 - 2. If f (x) is shifted 5 units to the left to create function g(x), which choice will represent g(x)?

Choose:
g(x) = x2 - 7
g(x) = x2 + 3
g(x) = (x - 5)2 - 2 g(x) = (x + 5)2 - 2

 

 

7.
Regarding the graph at the right:
a) Which of the following equations represents the function f (x)?
Choose:
f (x) = (x - 2)2
f (x) = x2 - 2
f (x) = (x + 2)2
f (x) = x2 + 2

b)
If function g(x) = f (x) + k, what is the value of k?

Choose:
-2
2
3 -3
pP2

 

 

8.
The graph at the right is an offspring of the absolute value function. Which of the following equations represents f (x) as shown?

Choose:
f (x) = | x | - 2
f (x) = | x - 2 |
f (x) = | x | + 2
f (x) = | x + 2 |

 

 

9.
Function f (x) = x2 - 1 is horizontally shifted
by k = 2.
a) What is the axis of symmetry of the shifted function?
Choose:
x = -1
x = 2
x = - 2 x = 0

b)
If the point (3, 8) lies on f (x), which point corresponds to this point on the shifted function?
Choose:
(1, 8)
(3, 6)
(5, 8) (3, 10)

 

 

 

10.
Given function f (x) = x3, and function g(x) = f (x + k).
a) What is the value of k?
Choose:
k = -2
k = 2
k = 3 k = -3

b)
Which equation represents g(x)?
Choose:
g(x) = (x - 3)3
g(x) = (x + 3)3
g(x) = x3 - 2 g(x) = x3 + 3



divider

NOTE: The re-posting of materials (in part or whole) from this site to the Internet is copyright violation
and is not considered "fair use" for educators. Please read the "Terms of Use".

Topical Outline | Algebra 1 Outline | MathBitsNotebook.com | MathBits' Teacher Resources
Terms of Use    Contact Person:  Donna Roberts

Copyright © 2012-2025 MathBitsNotebook.com. All Rights Reserved.