Parent Functions and Their Transformation

What is the equation of the graph?

• f(x ) = I x + 4 I + 2

• f(x ) = -I x - 4 I + 2

• f(x ) = I x - 4 I + 2

• f(x ) = -I x + 4 I + 2

Tags

CCSS.HSF-IF.C.7D

Describe the transformation from the parent absolute value function:

• Shift up 5 units

• Shift down 5 units

• Shift right 5 units

• Shift left 5 units

Describe the transformation from the parent quadratic function:

• Shift up 2 units

• Shift down 2 units

• Shift right 2 units

• Shift left 2 units

Describe the transformation from the parent square root function:

• Shift up 4 units

• Shift down 4 units

• Shift right 4 units

• Shift left 4 units

Tags

CCSS.HSF.BF.B.3

Describe the transformation from the parent cubic function:

• Shift up 3 units

• Shift down 3 units

• Reflection over the y-axis

• Reflection over the x-axis

Tags

CCSS.HSF.BF.B.3

• Vertical stretch by a factor of ¼

• Vertical compression by a factor of ¼

• Vertical stretch by a factor of 8 

• Vertical compression by a factor of 8 

Describe the transformation from the parent square root function:

• Vertical stretch

• Vertical compression

• Translation 5 units right

• Translation 5 units left

Tags

CCSS.HSF.BF.B.3

Describe the transformation from the parent absolute value function:

• Reflection over the x-axis

• Translation 4 units left

• Translation 4 units up

• Translation 3 units left

• Translation 3 units down

Describe the transformation from the parent cubic function:

• Translation 6 units right

• Translation 6 units left

• Translation 4 units up

• Translation 4 units down

Tags

CCSS.HSF.BF.B.3