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Transformation of Functions

Authored by Anthony Clark

Mathematics

11th Grade

CCSS covered

Transformation of Functions
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15 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

Translation left 2 units

Translation right 2 units

Vertical translation up by 2 units.

Reflection across the x-axis.

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the transformation to y = f(x) if it is replaced with y= (x - 1) - 5.

f(x) has been translated to the left one and down five.

f(x) has been translated to the right one and down five.

f(x) has been translated to the left one and up five.

f(x) has been translated to the right one and up five.

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the transformation of y = f(x) to the new function
 y = f(1/5x)

Horizontal shrink by a factor of 1/5

Vertical stretch be a factor of 5

Vertically shrink by a factor of 1/5

 Horizontal stretch by a factor of 5

Tags

CCSS.HSF.BF.B.3

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation transforms f(x) = x to a horizontal stretch by a factor of 2, a reflection over the x axis, and a shift down 4?

f(-2x - 4)

f(-1/2x) - 4

-f(2x) - 4

-f(1/2x) - 4

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the transformations from the original parent function f(x) = x2.

g(x) = 5x2 + 2

Vertical Stretch of 5

Vertical Down 2

Vertical Compression of 5

Vertical Up 2

Vertical Stretch of 5

Vertical Up 2

Vertical Compression of 5

Vertical Down 2

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What are the transformations of this functions compared to the parent function y = √(x)?

Horizontal right 5, vertical down 2, and reflected over the x-axis

Reflected over the x-axis, vertical stretch of 2, and horizontal right 5

Reflected over the x-axis, vertical stretch of -2, and horizontal left 5

Horizontal right 5, Vertical down 2

Tags

CCSS.HSF.BF.B.3

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation below is a quadratic function translated up 5 units?

y = x2 + 5

y = (x + 5)2

y = 5x2

y = -x2 - 5

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