Parent Functions and Transformations

The red graph shows the graph of y=f(x)

Identify the blue graph...

• y = f(x - 3)

• y = f(x) - 3

• y = f(x + 3)

• y = f(x) + 3

The red graph shows the graph of y=f(x)

Identify the blue graph...

• y = f(x - 3)

• y = f(x) - 3

• y = f(x + 3)

• y = f(x) + 3

Write an absolute value function given the following transformations:
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units

• y = -|x + 2| - 7 
• y = |x - 2| - 7 
• y = -|x - 2| - 7
• y = -|x - 2| + 7

• y = Ix + 2I - 1
• y = -Ix + 2I - 1
• y = -Ix - 2I - 1
• y = -Ix + 1I - 2

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

• y = x² + 5
• y = (x + 5)²
• y = 5x²
• y = -x² - 5

• Vertical shift up

• Vertical shift down

• Horizontal shift left

• Horizontal shift right

• Reflection across the x-axis

• y = Ix + 2I - 1
• y = -Ix + 2I - 1
• y = -Ix - 2I - 1
• y = -Ix + 1I - 2

Which graph shows y=|x−2|+3

• A

• B

• C

• D

Tags

CCSS.HSF-IF.C.7D

Describe the transformation from the parent graph

• reflection over the x-axis, right 3, down 4
• reflection over the x-axis, left 3, down 4
• stretched, right 3, up 4
• compression, right 3, up 4

Tags

CCSS.HSF.IF.A.2