Transformations of Functions Review

What are the following transformations?
- f(x+2)

• reflection over the y axis and 2 units to the right
• reflection over the x axis and 2 units right
• reflection over the y axis and 2 units left
• reflection over the x axis and 2 units left

Tags

CCSS.HSF.BF.B.3

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

• Shifted right 5, shifted down 2, and reflected over the x-axis
• Reflected over the x-axis, vertical stretch, and shifted right 5
• Reflected over the x-axis, vertical stretch, and shifted left 5
• Shifted right 5, shifted down 2

Tags

CCSS.HSF.BF.B.3

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Tags

CCSS.HSF-IF.C.7B

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a translation shifting f(x) 4 units up
• a translation shifting f(x) 4 units down
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right

• A

• B

• C

• D

• A

• B

• C

• D

• The graph of f(x) is stretched horizontally by a factor of 7 and then shifted vertically up 6 units.

• The graph of f (x) is compressed horizontally by a factor of 7 and then shifted vertically up 6 units.

• The graph of f (x) is stretched horizontally by a factor of 7 and then shifted vertically down 6 units.

• The graph of f x( ) is compressed horizontally by a factor of 7 and then shifted vertically down 6 units.

• A

• B

• C

• D

• A

• B

• C

• D

Tags

CCSS.HSF.BF.B.3