AnswersCMS 2026-2027 NC Math 2 CREDIT RECOVERYVertical Stretches and Shrinks of the Square Root Function

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Which is true about the domains and ranges of the functions f of x is equal to 1 eighth square root of x and g of x is equal to 8 square root of x ?

A
They have different domains and different ranges.
B
They have the same range but different domains.
C
They have the same domain and range.
D
They have the same domain but different ranges.
2
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Which is the graph of the function f of x is equal to square root of 1 fourth x end root ?

A
Image with description On a coordinate plane with x-axis ranging from 0 to 9 in increments of 1, y-axis ranging from 0 to 2 point 2 5 in increments of 0 point 2 5. A smooth curve originates from origin and passes through the points 1 comma 0 point 2 5 and 4 comma 0 point 5.
B
Image with description On a coordinate plane with x-axis ranging from 0 to 9 in increments of 1, y-axis ranging from 0 to 2 point 2 5 in increments of 0 point 2 5. A smooth curve originates from origin and passes through the points 1 comma 0 point 5 and 4 comma 1.
C
Image with description On a coordinate plane with x-axis ranging from 0 to 9 in increments of 1, y-axis ranging from 0 to 9 in increments of 1. A smooth curve originates from origin and passes through the points 1 comma 2 and 4 comma 4.
D
Image with description On a coordinate plane with x-axis ranging from 0 to 9 in increments of 1, y-axis ranging from 0 to 9 in increments of 1. A smooth curve originates from origin and passes through the points 1 comma 4 and 4 comma 8.
3

Which is equivalent to square root of 450 b to the 9th power end root after it has been simplified completely?

A
15 b to the 9th power square root of 2
B
15 b to the 4th power square root of 2 b
C
15 b cubed square root of 2
D
15 b to the 8th power square root of 2 b
4

Which is the graph of f of x is equal to 3 square root of x ?

A
Image with description On a coordinate plane with x-axis ranging from negative 2 to 8 in increments of 1, y-axis ranging from negative 7 to 3 in increments of 1. A smooth curve originates from origin and passes through the points 1 comma negative 3 and 4 comma negative 6.
B
Image with description On a coordinate plane with x-axis ranging from negative 2 to 8 in increments of 1, y-axis ranging from negative 3 point 5 to 1 point 5 in increments of 0 point 5. A smooth curve originates from origin and passes through the points 1 comma negative 0 point 3 and 4 comma negative 0 point 6.
C
Image with description On a coordinate plane with x-axis ranging from negative 3 to 7 in increments of 1, y-axis ranging from negative 1 point 5 to 3 point 5 in increments of 0 point 5. A smooth curve originates from origin and passes through the points 1 comma 0 point 3 and 4 comma 0 point 6.
D
Image with description On a coordinate plane with x-axis ranging from negative 3 to 7 in increments of 1, y-axis ranging from negative 3 to 7 in increments of 1. A smooth curve originates from origin and passes through the points 1 comma 3 and 4 comma 6.
5

Which best describes how the graph of g of x is equal to square root of 25 ninths x end root relates to the graph of the parent function, f of x is equal to square root of x ?

A
The graph of g of x is stretched vertically by a factor of 5 thirds .
B
The graph of g of x is shrunk vertically by a factor of 5 thirds .
C
The graph of g of x is stretched vertically by a factor of 25 ninths .
D
The graph of g of x is shrunk vertically by a factor of 25 ninths .
6

Which is the graph of f of x is equal to 1 half square root of x ?

A
Image with description On a coordinate plane with x-axis ranging from negative 5 to 5 in increments of 1, y-axis ranging from negative 5 to 5 in increments of 1. A smooth curve originates from origin and passes through the points 1 comma negative 0 point 5 and 4 comma negative 1.
B
Image with description On a coordinate plane with x-axis ranging from negative 5 to 5 in increments of 1, y-axis ranging from negative 5 to 5 in increments of 1. A smooth curve originates from origin and passes through the points 1 comma negative 2 and 4 comma negative 4.
C
Image with description On a coordinate plane with x-axis ranging from negative 5 to 5 in increments of 1, y-axis ranging from negative 5 to 5 in increments of 1. A smooth curve originates from origin and passes through the points 1 comma 2 and 4 comma 4.
D
Image with description On a coordinate plane with x-axis ranging from negative 5 to 5 in increments of 1, y-axis ranging from negative 5 to 5 in increments of 1. A smooth curve originates from origin and passes through the points 1 comma 0 point 5 and 4 comma 1.
7

Which best describes how the graph of g of x is equal to 1 ninth square root of x relates to the graph of the parent function, f of x is equal to square root of x ?

A
The graph of g of x is stretched vertically by a factor of 1 third .
B
The graph of g of x is shrunk vertically by a factor of 1 third .
C
The graph of g of x is stretched vertically by a factor of 1 ninth .
D
The graph of g of x is shrunk vertically by a factor of 1 ninth .
8

What is the domain of the function f of x is equal to 2 fifths square root of x ?

A
all real numbers less than 0
B
all real number less than or equal to 0
C
all real numbers greater than or equal to 0
D
all real numbers
9

Which is equivalent to square root of the fraction with numerator 60 n to the 11th power and denominator 256 n to the 4th power end root after it has been simplified completely? Assume n is not equal to 0

A
the fraction with numerator n cubed and denominator 8 square root of 15 n
B
the fraction with numerator n to the 6th power and denominator 8 square root of 15 n
C
8 n cubed square root of 15 n
D
8 n to the 6th power square root of 15 n
10

Which expressions are equivalent to square root of 1,120 y cubed end root ? Choose three correct answers.

A
4 y square root of 70 y
B
square root of 2 squared end root times square root of 2 squared end root times square root of 2 times square root of 5 times square root of 7 times square root of y squared end root times square root of y
C
square root of 2 times 2 times 2 times 2 times 5 times 7 times y times y end root
D
square root of 2 squared end root times square root of 2 squared end root times square root of 2 squared end root times square root of 5 squared end root times square root of 7 squared end root times square root of y squared end root times square root of y squared end root
E
2 times 2 times y square root of 2 times 5 times 7 times y end root

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