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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 by Patrick covers transformations of functions, focusing on vertical stretch, compression, and reflection in the x-axis. The transformations depend on the 'a' value in the function. The video explains different cases for the 'a' value, including when it is greater than 1, equal to 1, between 0 and 1, equal to 0, between -1 and 0, equal to -1, and less than -1. Each case is illustrated with examples, showing how the function is transformed accordingly.

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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What transformations are discussed in the introduction of the video?

Scaling and shearing

Horizontal stretch and compression

Vertical stretch, compression, and reflection in the x-axis

Translation and rotation

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which transformation value affects vertical stretch and compression?

c value

a value

d value

k value

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to a function when the a value is greater than 1?

It is reflected in the y-axis

It is vertically stretched

It remains unchanged

It is horizontally compressed

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a = 1, what transformation occurs?

Reflection in the x-axis

Vertical compression

Vertical stretch

No transformation

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the effect on a function when 0 < a < 1?

No change

Vertical compression

Reflection in the y-axis

Vertical stretch

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to a function when a = 0?

It remains unchanged

It disappears

It becomes a vertical line

It becomes a horizontal line

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When -1 < a < 0, what transformations occur?

Vertical stretch and reflection

Horizontal stretch and reflection

No transformation

Vertical compression and reflection

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