Horizontal Function Transformations

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 2 I 

• Left 2

• Right 2

• Up 2

• Down 2

What shifts have occurred?

• left 1, up 5

• left 1, down 5

• right 1, up 5

The blue graphs is the parent function f(x)=|x|, the red must be

• g(x)=|x+2|

• g(x)=|x|+2

• g(x)=|x-2|

• g(x)=|x|-2

Describe the transformation of the equation below from the parent function of y = I x I
y = I x + 4 I 

• Left 4

• Right 4

• Up 4

• Down 4

• horizontal, 2, left

• horizontal 2, right

• horizontal, 2, down

• vertical, 2, down

Which transformation will occur if g(x) = f( 1/2 x)?

• Vertical stretch by a factor of 2

• Vertical compression by a factor of 1/2

• Horizontal compression by a factor of 1/2

• Horizontal stretch by a factor of 2

Describe each transformation based on direction, unit, and/or factors.

What does the transformation f(x) → f(⅕x) do to the graph of f(x)?

• horizontal compression by a scale factor of 1/5

• horizontal stretch by a scale factor of 1/5

• vertical stretch by a scale factor of 1/5

• vertical compression by a scale factor of 1/5

Describe the transformation of the equation below:

y = I x + 3 I

• Left 3

• Right 3

• Up 3

• Down 3

Describe the transformation of the equation below from the parent function of y = IxI

y = I x + 2 I - 5

• Left 2 up 5

• Right 2 up 5

• Left 2 down 5

What are the transformations of this functions compared to the parent function?

• Shifted down 2

• Shifted up 2

• Shifted left 2

• Shifted right 2

Tags

CCSS.HSF.BF.B.3