Name Date Class
ACP2 & CP College Algebra
Name Date Class
2017 Summer Preparation
Name Date Class
Select the best answer.
1. Which are the coordinates of the translated point?
(1, 3); left 2 units
A (3, 3) C (-1, 3)
B (1, 5) D (1, 1)
2. Which are the coordinates of the translated point?
(-1, 2); up 1 unit and right 3 units
F (0, 5) H (-4, 1)
G (2, 3) J (-2, -1)
3. Which completes the table of the
transformed function?
Reflection across x-axis
X / Y1 / -4
2 / -2
3 / 0
4 / 2
5 / 4
F 4, 2, 0, -2, -4 H 4, 2, 0, 2, 4
G -2, -1, 0, 1, 2 J -4, -2, 0, -2, -4
4. Which of these is the parent function
A C
B D
5. Which of these is the parent function?
F H
G 2 J
6. Which of these is the domain and range
for the parent quadratic function?
A Domain: all real numbers Range:
B Domain: all real numbers Range:
C Domain: Range: all real numbers
D Domain: Range: all real numbers
7. Which of these describes the transformation in terms of f(x)?
Horizontal translation 2 units right
F H
G J
8. Which of these describes the transformation in terms of f(x)?
Vertical stretch of 4 units
A C
B D
9. Which transformation describes the equation from its parent equation?
F horizontal shift left 1 unit
G vertical shift down 1 unit
H vertical stretch by a factor of 1
J vertical shift up 1 unit
10. Which transformation describes the equation from its parent equation?
A horizontal shift right 3 units
B vertical shift up 3 units
C vertical stretch by a factor of 3
D horizontal shift left 3 units
11. Which transformation describes the equation from its parent equation?
F vertical compression by a factor of
G vertical shift up unit
H vertical stretch by a factor of
J horizontal shift left unit
Name Date Class
Name Date Class
12. Which is the type of correlation shown?
A positive C negative
B no correlation D zero
13. Which function has a maximum value
of 10?
F f(x) = -2x2 + 4x - 12
G g(x) = -2x2 + 8x + 2
H h(x) = -x2 + 6x + 10
J j(x) = x2 - 4x + 14
14. Write a quadratic function in standard form having zeros of and .
A a(x) = 4x2 + x - 1
B b(x) = 4x2 - x - 1
C c(x) = 8x2 - 2x - 1
D d(x) = 8x2 + 2x - 1
15. Write f(x) = 2x2 - 8x + 10 in vertex form.
F f(x) = 2(x - 2)2 + 2
G f(x) = 2(x - 2)2 + 6
H f(x) = 2(x - 4)2 - 22
J f(x) = 2(x - 4)2 - 6
16. What are the solutions to x2 + 4x + 12 = 0?
A -2 ± 2i C
B D
17. Simplify .
F 4 - 2i H 2 + 2i
G 3 - i J 3 - 2i
18. Which expression shows the value of a $10,000 investment that has lost 1.2% of its value for five years in a row?
F 10,000(.94)
G 10,000(.88)5
H 10,000(.988)5
J 10,000 - 10,000(.012)5
19. Which is the inverse of f(x) = 4ln x?
A f -1(x) = e0.25x
B f -1(x) = e4x
C
D f -1(x) = 4ex
20. Evaluate log(log 10).
F 0 H 1
G 0.1 J 10
21. Solve 32x = 100.
F H
G J
22. Which is equal to ?
F H
G J
23. Which is an extraneous solution to ?
A x = 1.25
B x = 3.5
C x = 7
D There is no extraneous solution.
24. Given , find f(f(0.5)).
A -1 C 1
B -0.5 D 2
25. Compare the end behavior for the pair of functions.?
and
F As x ® +¥, f (x) ® +¥ and g (x) ® +¥ and as x ® -¥, f (x) ® -¥ and g (x) ® -¥
G As x ® +¥, f (x) ® -¥ and g (x) ® -¥ and as x ® -¥, f (x) ® -¥ and g (x) ® +¥
H As x ® +¥, f (x) ® +¥ and g (x) ® -¥ and as x ® -¥, f (x) ® +¥ and g (x) ® +¥
J As x ® +¥, f (x) ® -¥ and g (x) ® +¥ and as x ® -¥, f (x) ® -¥ and g (x) ® -¥