Transformations on Parent Functions

Given f(x) = (x+2)² - 5. What transformations took place from the original function f(x)?

• Left 2 and up 5

• Right 2 and down 5

• Left 2 and down 5

• Right 2 and up 5

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

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:

• Shift up 3 units

• Shift down 3 units

• Reflection over the y-axis

• Reflection over the x-axis

Tags

CCSS.HSF.BF.B.3

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

• Shift up 2 units

• Shift down 2 units

• Shift right 2 units

• Shift left 2 units

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 absolute value function:

• Shift up 5 units

• Shift down 5 units

• Shift right 5 units

• Shift left 5 units

Which transformation on f(x) = x is g(x) = -f(x)

• Reflection across the y-axis

• The slope will be less steep

• The graph will be wider

• Reflection across the x-axis.

How did the equation shift from the parent function? y = f(x + 7)

• Up 7

• Down 7

• Left 7

• Right 7