Test: Parent Functions and Transformations

Which parent function matches the graph?

• y = |x|
• y = x
• y = x²
• y = 2^x

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What type of function is shown?

• linear
• quadratic
• square root
• absolute value

Tags

CCSS.HSA.REI.D.10

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

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

Tags

CCSS.HSF.BF.B.3

Which equation below is a quadratic function translated left 4 units?

• y = x² + 4
• y = (x + 4)²
• y = (x - 4)²
• y = 4x²

Tags

CCSS.HSF.BF.B.3

Which equation is a quadratic function reflected over the x-axis and shifted up 2.

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe the transformation

• left 2 units up 5 units

• right 2 units up 5 units

• left 2 units down 5 units

• right 2 units down 5 units

Tags

CCSS.HSF.BF.B.3

Tell how the graph transformed.
y = (x - 3)²

• Translated right 3
• Translated left 3
• Translated up 3
• Translated down 9

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

• f(x)=x² + 2

• f(x) = (x-2)² + 1

• f(x)= (x+2)² - 1

• f(x)= (x+2)² + 1

Tags

CCSS.HSF-IF.C.7A

Does y = 5|x| get wider or more narrow than the parent function y = |x|?

• Wider (Vertical Compression)

• Narrow (Vertical Stretch)

Does y = 1/2|x| get wider or more narrow than the parent function y = |x|?

• Wider (Vertical compression)

• Narrow (Vertical Stretch)