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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A
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?

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

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