Topic 2: Absolute Value Review for Semester Exam

Topic 2: Absolute Value
Multiple Choice
15. Which equation is graphed?
4
Read each question. Then choose the letter of the
correct answer.
11. Which describes the translation of y = 0 x - 3 0 + 5?
A. y = 0 x 0 translated 3 units left and 5 units up
B. y = 0 x 0 translated 3 units right and 5 units up
C. y = 0 x 0 translated 5 units left and 3 units up
D. y = 0 x 0 translated 5 units right and 3 units up
13. Which of the following is not an important attribute of
absolute value functions?
A. Vertex
B. Axis of symmetry
C. Rate of change
D. y-intercept
14. The graph of which equation is the graph of
f (x) = 0 x 0 reflected in the x-axis, translated 8 units left,
vertically compressed by a factor of 1 , and translated
2
down 5 units?
F. y = -2 0 x - 8 0 - 5
G. y = - 1 0 x - 8 0 - 5
2
H. y = 2 0 x + 8 0 - 5
J. y = - 12 0 x + 8 0 - 5
Review for Semester Exam
y
x
4
O
2
4
2
A. y = -3 0 x + 1 0 + 3
B. y = 3 0 x + 1 0 + 3
C. y = -3 0 x - 1 0 + 3
D. y = 3 0 x + 1 0 - 3
16. How many x-intercepts does the graph of
y = 4 0 x - 12 0 - 9 have?
F. 0
H. 2
G. 1
J. 3
17. What is the y-intercept of y = 5 0 x - 2 0 - 7?
A. 2
C. 7
B. 3
D. -2
18. What is the axis of symmetry of y = 41 0 x + 6 0 - 3?
F. x = -3
G. y = -3
H. x = 6
J. x = -6
19. What is the equation of an absolute value function
with vertical stretch factor 31 and vertex ( -3, 2)?
A. y = 31 0 x + 3 0 + 2
B. y = 31 0 x - 3 0 + 2
C. y = 3 0 x - 3 0 + 2
D. y = 31 0 x + 3 0 - 2
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Gridded Response
20. What is the minimum of f (x) = 2 0 x + 1 0 - 3?
21. What is the horizontal translation of
f (x) = 3 0 x - 5 0 + 7?
22. What is the vertical stretch or compression factor of f (x) = 12 0 x + 2 0 - 1?
23. What is the x-coordinate of the vertex of
f (x) = 0 x + 9 0 + 5?
24. If the point (a, 6) is an integer solution to
y 6 - 0 x - 3 0 + 7, what is the value of a?
Constructed Response
43. Describe the transformations of y = -7 0 x + 41 0 - 13 from the parent function f (x) = 0 x 0 .
Describe each transformation of the parent
function y = ∣ x ∣ . Then, graph each function.
31. y = 0 x 0 - 4
32. y = 0 x - 1 0 - 5
33. y = - 0 x + 4 0 + 3
34. y = 2 0 x + 1 0
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