AnswersVOA Math MN-Algebra I with Quadratics CR 2BLinear Piecewise Defined Functions

Translations of the Square Root Function Answers

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

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Option
Option A
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Option
Option B
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Option
Option C
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Option
Option D
3

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?

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Option C
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4

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)?

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

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)?

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6

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)?

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A
y > –9
B
y > –6
C
y > 6
D
y > 9
7

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
8

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

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y =
Option A
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y =
Option B
C
y = – 2
Option C
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y = + 2
Option D
9

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
10

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

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Option A
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Option B
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Option C
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Option D

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