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Transformations on Square Root Functions

Transformations on Square Root Functions

Assessment

Flashcard

•

Mathematics

•

•

Practice Problem

•

Hard

Created by

Wayground Content

FREE Resource

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16 questions

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1.

FLASHCARD QUESTION

Front

What is the parent function of square root functions?

Back

The parent function of square root functions is f(x)=sqrt(x)f(x) = \text{sqrt}(x) .

2.

FLASHCARD QUESTION

Front

What transformation does the function f(x)=sqrt(x+2)f(x) = \text{sqrt}(x + 2) represent compared to the parent function?

Back

Shifted left 2.

3.

FLASHCARD QUESTION

Front

What transformation does the function f(x)=−2sqrt(x−5)f(x) = -2 \text{sqrt}(x - 5) represent compared to the parent function?

Back

Reflected over the x-axis, vertical stretch by 2, and shifted right 5.

4.

FLASHCARD QUESTION

Front

What is the range of the function f(x)=sqrt(x)+3f(x) = \text{sqrt}(x) + 3 ?

Back

The range is [3,infinity)[3, \text{infinity}) .

5.

FLASHCARD QUESTION

Front

What transformation does the function f(x)=sqrt(x+2)−4f(x) = \text{sqrt}(x + 2) - 4 represent compared to the parent function?

Back

Shifted left 2 and down 4.

6.

FLASHCARD QUESTION

Front

How does the function g(x)=−3sqrt(x−2)+1g(x) = -3 \text{sqrt}(x - 2) + 1 relate to the parent function f(x)=sqrt(x)f(x) = \text{sqrt}(x) ?

Back

It is a reflection over the x-axis, a vertical stretch by 3, a shift right by 2, and a shift up by 1.

7.

FLASHCARD QUESTION

Front

What does a negative sign in front of a square root function indicate?

Back

It indicates a reflection over the x-axis.

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