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

 

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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



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