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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

This video tutorial covers the concept of transformations, focusing on dilations, both vertical and horizontal. It explains how to perform these transformations algebraically and numerically, and discusses the effects on domain and range. The tutorial also explores reflections and the combination of different transformations, providing examples and step-by-step instructions.

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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary difference between additive and multiplicative transformations?

Additive transformations involve sliding, while multiplicative involve scaling.

Both involve scaling.

Multiplicative transformations involve sliding.

Additive transformations involve scaling.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to a function's y-values during a vertical dilation by a factor of 2?

They are halved.

They are inverted.

They remain unchanged.

They are doubled.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In horizontal dilations, what is the effect of a factor of 1/2?

The function is stretched.

The function remains unchanged.

The function is compressed.

The function is inverted.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of a horizontal reflection on a function?

The function is shifted up.

The function is flipped over the x-axis.

The function is compressed.

The function is stretched.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When combining dilations with translations, what is the recommended order of operations?

Order does not matter.

Perform both simultaneously.

Dilate first, then translate.

Translate first, then dilate.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In complex transformations, what is the first step according to the order of operations?

Horizontal shift

Horizontal dilation

Vertical shift

Vertical reflection

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you represent a vertical dilation algebraically?

Add a constant to the y-values.

Add a constant to the x-values.

Multiply the x-values by a factor.

Multiply the y-values by a factor.

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