AnswersNC-Math 2 CRTranslations of the Square Root Function

Translations of the Square Root Function Answers

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Which graph represents the function f(x) = + 3?

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Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
2
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The function f(x) = is translated using the rule (x, y) → (x – 6, y + 9) to create A(x).Which expression describes the range of A(x)?

Question illustration
A
y > –9
B
y > –6
C
y > 6
D
y > 9
3

The function f(x) is graphed. It represents a translation of the square root function g(x) = .

Question illustration
A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) = – 1
Option C
D
f(x) = + 1
Option D
4

The function g(x) is graphed on the coordinate grid.

Question illustration
A
x≥5
B
x>5
C
x≥0
D
x>0
5

Which graph represents the function f(x) = – 1?

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Option
Option A
B
Option
Option B
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Option
Option C
D
Option
Option D
6

Which statements are true of g(x)? Select three options.

A
The function g(x) is a translation of f(x) = .
Option A
B
The function g(x) has a domain of {x | x > –2}.
C
The function g(x) has a range of {y | y > –1}.
D
The function g(x) is represented by the function g(x) = – 1.
Option D
E
The function g(x) can be translated right 3 units and up 1 unit to create the function f(x) = .
Option E
7

The graph of y = is translated 4 units left and 1 unit up to create the function h(x). The graph of h(x) is shown on the coordinate grid.

Question illustration
A
{y | y > –4}
B
{y | y > –1}
C
{y | y > 1}
D
{y | y > 4}
8

The function f(x) = is translated left 5 units and up 3 units to create the function g(x).What is the domain of g(x)?

Question illustration
A
{x | x > –5}
B
{x | x > –3}
C
{x | x > 3}
D
{x | x > 5}
9

What is the range of the function f(x) = + 6?

Question illustration
A
f(x) > –8
B
f(x) > –6
C
f(x) > 6
D
f(x) > 8
10

A function h(x) is defined by the equation h(x) = + 3.Which is the graph of h(x)?

Question illustration
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Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
11

The graph of y = is translated so that the domain of the new function is {x | x > –6} and the range is {y | y > 0}.Which graph represents the translated image?

Question illustration
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Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
12

The graph of f(x) = is translated to create g(x) so that the domain remains the same but the range of g(x) is all real numbers greater than or equal to 8.Which graph represents g(x)?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
13

The function f(x) is graphed. It represents a translation of the square root function y = .

Question illustration
A
y =
Option A
B
y =
Option B
C
y = – 2
Option C
D
y = + 2
Option D
14

Which function has a domain of {x | x > 8}?

A
f(x) = + 1
Option A
B
f(x) = – 1
Option B
C
f(x) = + 8
Option C
D
f(x) = – 8
Option D

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