Unit Test — Unit test Answers

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21
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The parent function f(x) = x3 and its translation, g(x), are shown on the graph.

Question illustration
A
g(x) = (x – 5)3 + 3
B
g(x) = (x + 3)3 – 5
C
g(x) = (x – 3)3 + 5
D
g(x) = (x + 5)3 – 3
22
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Louis used a quadratic equation to model the height, y, of a falling object x seconds after it is dropped. Which ordered pair generated by this model should be discarded because the values are unreasonable?

A
(–4, 1)
B
Option
Option B
C
Option
Option C
D
(6, 0)
23

Susan plans to use 120 feet of fencing to enclose a rectangular area for a garden. Which equation best models the area, y, of the rectangular garden that she creates if one side is x feet long?A = lw

A
y = (60 – x)(x)
B
y = (120 – x)(120 + x)
C
y = (120 – x)(x)
D
y = (60 – x)(60 + x)
24

The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x + 5)3 − 6. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

A
(5, −6)
B
(−5, −6)
C
(5, 6)
D
(−5, 6)
25

What is the value of i 20+1?

A
1
B
–1
C
–i
D
i
26

An egg is dropped from a height of 90 ft. If acceleration due to gravity is –16 ft/s2 and initial velocity is 0 ft/s, approximately how long will it take for the egg to reach the ground?h(t) = at2 + vt + h0

A
1.9 s
B
2.4 s
C
9.7 s
D
40.7 s
27

What is the value of i 97 – i?

A
–i
B
0
C
–2i
D
i Superscript 96
Option D
28

Which equation is an example of the commutative property of multiplication?

A
(4 + 2i) = (2i + 4)
B
(4 + 2i)(3 – 5i) = (3 – 5i)(4 + 2i)
C
(4 + 2i)(3 – 5i) = (4 + 2i)(3 – 5i)(1)
D
(4 + 2i) = (4 + 2i + 0)
29

Tim throws a stick straight up in the air from the ground. The function h = –16t2 + 48t models the height, h, in feet, of the stick above the ground after t seconds. Which inequality can be used to find the interval of time in which the stick reaches a height of more than 8 feet?

A
–16t2 + 48t > 8
B
–16t2 + 48t < 8
C
–16t2 + 48t ³ 8
D
–16t2 + 48t £ 8
30

Which quadratic inequality does the graph below represent?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D

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