AnswersTN-Algebra I A SC 26-27 Elective FocusReflections and Dilations of Absolute Value Functions

The Cube Root Function Answers

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1
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Which is the graph of f(x) = RootIndex 3 StartRoot negative x EndRoot ?

Question illustration
A
[Image: On a coordinate plane, a cube root function goes t...]
Option A
B
[Image: On a coordinate plane, a funtion has 2 curved line...]
Option B
C
[Image: On a coordinate plane, a cube root function goes t...]
Option C
D
[Image: On a coordinate plane, a funtion has 2 curved line...]
Option D
5

Which is the graph of y = + 3?

Question illustration
A
[Image: On a coordinate plane, a cube root function goes t...]
Option A
B
[Image: On a coordinate plane, a cube root function goes t...]
Option B
C
[Image: On a coordinate plane, a cube root function has an...]
Option C
D
[Image: On a coordinate plane, a cube root function crosse...]
Option D
6

Which describes how to graph h(x)= – RootIndex 3 StartRoot x EndRoot + 3 using transformations of the parent function?

Question illustration
A
Reflect over the horizontal axis, and then translate the graph right 3 units.
B
Reflect over the horizontal axis, and then translate the graph up 3 units.
C
Reflect over the vertical axis, and then translate right 3 units.
D
Reflect over the vertical axis, and then translate up 3 units.
9

Which statements are true of the graph of h(x) = [image 1] ? Check all that apply.The domain of h(x) is the set of all real numbers.The range of h(x) is the set of all real numbers.For all points (x, h(x)), h(x) exists if and only if x – 4 [image 2] 0.The graph of h(x) is a translation of f(x) down 4 units.The graph of h(x) intercepts the x-axis at (4, 0).

Question illustration
A
The domain of h(x) is the set of all real numbers.
B
The range of h(x) is the set of all real numbers.
C
For all points (x, h(x)), h(x) exists if and only if x – 4 0.
Option C
D
The graph of h(x) is a translation of f(x) down 4 units.
E
The graph of h(x) intercepts the x-axis at (4, 0).
10

Which equation describes the relationship of the graphs of f(x) and g(x)?

A
g(x) = f(x) + 1
B
g(x) = f(x) – 1
C
g(x) = f(x + 1)
D
g(x) = f(x – 1)

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