Practice Page
Directions: Read carefully. Choose the best answer.
1.
Given f (x) shown at the right.
Which graph choice depicts -f (x)?
Choose:
TRprac2
 TRprac3
TRprac4 TRprac5
TRprac1

 

 

2.
The minimum point on the graph of the function y = f (x) is (-2,-4). What is the minimum point on the graph of the function y = f (x) + 7?

Choose:
(-2, -11)
(5, 3)
(-2,3)
(-5,-11)
TRPracPic1

 

 

3.
If the graph of the function y = 2x is reflected over the x-axis, the equation of the reflection is ___________.

Choose:
y = 2-x
y = x2
y = -(2x)
y = -x2
TRpracpic2

 

 

4.
Function f (x) is shown in the table at the right. Which of the choices represents the value of h (3), given that h (x) = f (x) + 4?

Choose:
7
-6
11
-10
x
f (x)
2
-12
3
-10
7
7
11
14
12
18

 

 

5.
Given g (x) shown at the right.
Which graph depicts g (x + 2)?
Choose:
TRprac6
TRprac9
TRprac8
TRprac10
TRprac7

 

 

6.
Function y = f (x) has been shifted 3 units to the right and 5 units down. Which of the following equations represents these changes?

Choose:
y = f (x + 3) - 5
y = f (x - 3) + 5
y = f (x + 3) + 5
y = f (x - 3) - 5
Trpracpic3

 

 

7.
Which of the following statements describes the transformation indicated by:
        TRpracmath1
Choose:
Function f was translated (shifted) horizontally 3 units to the left.
Function f was translated (shifted) vertically 3 units down.
Function f was translated (shifted) horizontally 3 units to the right.
Function f was translated (shifted) vertically 3 up. -6
TRpracpic4

 


8.
Let x represent the length of the side of a square, and also the edge of a cube. The area of the square is represented by
f (x) = x2.
The surface area of the cube is represented by g(x) = 6x2. Which statement describes
g(x) in terms of f (x)?
Choose:
g(x) is a horizontal shrink of f (x).
g(x) is a horizontal stretch of f (x).
g(x) is a vertical shrink of f (x).
g(x) is a vertical stretch of f (x).
TrPracpic5

 

 

9.
Given f (x) = 2x + 4.
Function g (x) = f (x) + 6.
a) What is the x-intercept of f (x)?
Choose:
-2
2
4
6

b) What is the x-intercept of g (x)?
Choose:
-10
-8
-5
-2

c) What is the y-intercept of f (x)?
Choose:
-2
2
4
6

d) What is the y-intercept of g (x)?
Choose:
24
 10 8 6
trpracpic6

 

 

10.
A parabolic function f (x) = x2 - 4.
Function g(x) is defined as g(x) = f (x) + 3.
What is the equation of g(x) in terms of x? Choose:
g(x) = x2 - 7
 g(x) = x2 + 1
g(x) = x2 + 7 g(x) = x2 - 1
trpracpic7

 

 

11.
The shape of a roof is modeled by a transformation of the absolute value function, f (x) = | x |. The function is reflected in the x-axis, and translated 8 units up and 10 units to the right to create the roof model.
a) Which equation represents the model for the roof, r(x)?
Choose:
r(x) = -|x - 10| + 8
r(x) = |x + 10| + 8
r(x) = |x + 8| - 10
r(x) = -|x - 8| + 10

b) Which domain makes sense for r(x)?
Choose:
0 < x < 10
 2 < x < 18
2 < x < 22 0 < x < 16

c) What is the bottom width of the model roof, if each unit represents one foot?
Choose:
10 feet
 18 feet
16 feet 20 feet
trpracpic8

 

 

12.
Given: f (x) = x2 ; k = 2; c = 3.
Given transformation functions:
y1 = kf (x) + c and y2 = k[f (x) + c]

a) Which of the two transformation functions is represented by the graph at the right?
Choose:
y1
y2

TRprac12
 
b) Which transformation occurs first in function y1 ?
Choose:
vertical stretch
translation up

c) Which transformation occurs first in function y2 ?
Choose:
vertical stretch
translation up

d) The transformation functions y1 and y2 are congruent.
Choose:
true
false


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