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Exploring Transformations of Functions

Exploring Transformations of Functions

Assessment

Interactive Video

•

Mathematics

•

6th - 10th Grade

•

Practice Problem

•

Hard

•
CCSS
HSF.BF.B.3, HSF-IF.C.7B

Standards-aligned

Created by

Sophia Harris

FREE Resource

Standards-aligned

CCSS.HSF.BF.B.3
,
CCSS.HSF-IF.C.7B
The video tutorial introduces transformations of functions, focusing on the square root function. It covers vertical and horizontal shifts, reflections over the x and y axes, and vertical stretches and compressions. The tutorial uses examples to illustrate how these transformations affect the graph of a function, providing a comprehensive understanding of function transformations.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the parent function discussed in the video?

y = 1/x

y = sqrt(x)

y = |x|

y = x^2

Tags

CCSS.HSF-IF.C.7B

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does a minus sign at the end of the function y = sqrt(x) - 2 indicate?

A horizontal shift to the left

A vertical shift up

A horizontal shift to the right

A vertical shift down

Tags

CCSS.HSF.BF.B.3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If you have a plus sign inside the function y = sqrt(x + 2), what kind of shift does it represent?

A horizontal shift to the left

A vertical shift down

A horizontal shift to the right

A vertical shift up

Tags

CCSS.HSF-IF.C.7B

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does a negative sign in front of the function y = -sqrt(x) indicate?

A reflection over the y-axis

A horizontal shift to the right

A reflection over the x-axis

A vertical shift up

Tags

CCSS.HSF.BF.B.3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the function y = sqrt(-x), what does the negative sign inside the square root indicate?

A horizontal shift to the right

A reflection over the y-axis

A reflection over the x-axis

A vertical shift down

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does a vertical stretch do to the graph of a function?

Makes it skinnier

Makes it wider

Makes it shorter

Makes it taller

Tags

CCSS.HSF.BF.B.3

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If 'a' in y = a * sqrt(x) is greater than 1, what transformation occurs?

Horizontal compression

Horizontal stretch

Vertical stretch

Vertical compression

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