Practice Page

Directions: Read carefully.

1.
Given function f (x) = ax2 where a is a positive integer.
If a is multiplied by -3, which statement describes the new graph, as compared to the graph of f (x)?
Choose:
wider and opening downward
wider and opening upward
narrower and opening downward
narrower and opening upward

 

`

2.
Which of the following choices represents the order of these quadratic functions when arranged from the narrowest graph to the widest graph?
A: f (x) = - 4x2        B: g(x) = ½x2         C: h(x) = 3x2
Choose:
A, B, C
B, C, A
A, C, B
 C, A, B

 

 

3.
Given f (x) = | x | and g(x) = k • | x |. Which choice describes what happens to the graphs of f (x) and g(x) when k = ½ ?
Choose:
f (x) is wider than g(x)
g(x) is wider than f (x)
f (x) has a larger range than g (x)
g(x) has a larger range than f (x)

 

 

4.
Given .
Which choice describes the transformation -1• f (x)?

Choose:
a vertical shift upward
a vertical shift downward
a reflection in the x-axis
a reflection in the y-axis

 

 

5.
Which of the following choices will not change during a vertical stretch or compression, k • f (x) ?
Choose:
the y-intercept of f (x)
the roots of f (x)
the maximum value of f (x)
the minimum value of f (x)

 

 

6.
The vertex of the parabola f (x) = x2 - 6x + 5 has its vertex at (3,-4). What are the coordinates of the vertex of g(x), when g(x) = 3 • f (x)?

Choose:
(9, -12)
(9, -4)
(3, -12) (6, -1)

 

 

7.
Function f (x) is shown at the right.
a) If a vertical stretch, 2 f (x), is performed, what will be the range of the new transformed graph?
Choose:
[-3,3]
 [-6,6]
[0,6]
 [-1,5]

b) If a vertical compression, ½ f (x), is performed, what will be the range of the new transformed graph?
Choose:
[-3,3]
[-6,6]
[-1½,1½] [-2,2]

 

 

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

Choose:
g (x) = f (2x)
g (x) = f (½x)
g (x) = 2 f (x)
g (x) = ½ f (x)

 

 

9.
Given the functions as listed in the table below:
a) If g(x) = k • f (x), what is the value of k?
Choose:
2/3
3/2
 3/4 4/3


b) Does this table represent a vertical stretch or a vertical compression of f (x)?
Choose:
Vertical stretch
Vertical compression

c) Which equation represents function g(x)?
Choose:

 

 

10.
Given function f (x) = 2x, and g(x) is a vertical stretch of f (x) where k = 2.
a) What is the y-intercept of g(x).
Choose:
(0,1)
(0,2)
(1,0) (2,0)

b) Which equation represents g(x)?
Choose:
g(x) = 2x
g(x) = 2x + 2
g(x) = 2x+1 g(x) = 2x+2



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.