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Transformations of Functions

Transformations of Functions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to apply transformations to the square root function. It covers replacing x with x-3 inside the function and subtracting 2 outside the function. The tutorial also discusses how these transformations affect the domain and range of the function, shifting the domain to x ≥ 3 and the range to y ≥ -2.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of the problem discussed in the video?

Applying transformations to a linear function

Applying transformations to a quadratic function

Applying transformations to the square root function

Applying transformations to a cubic function

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the transformation inside the function, what is x replaced with?

x + 3

x - 3

x / 3

x * 3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the effect of replacing x with x - 3 inside the function?

Stretches the graph vertically

Compresses the graph horizontally

Shifts the graph 3 units to the right

Shifts the graph 3 units to the left

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is performed outside the function in the transformation?

Multiplying by 2

Subtracting 2

Adding 2

Dividing by 2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the effect of subtracting 2 outside the function?

Compresses the graph vertically

Stretches the graph horizontally

Shifts the graph 2 units down

Shifts the graph 2 units up

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the original domain of the square root function?

x is greater than or equal to -2

x is greater than or equal to 3

x is greater than or equal to 0

x is greater than or equal to -3

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After the transformation, what is the new domain of the function?

x is greater than or equal to 0

x is greater than or equal to -2

x is greater than or equal to 3

x is greater than or equal to -3

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