Transformations of Parent Functions

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.HSA.SSE.A.2

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.C.7

Describe the transformation

• left 2 up 5
• right 2 up 5
• left 2 down 5
• right 2 down 5

Tags

CCSS.HSF.BF.B.3

Tell how the function transformed from y =|x|
y = -2|x|

• Translated left 2 units
• Reflected over x-axis
• Stretched vertically and reflected over x-axis
• Compressed vertically and reflected over the x-axis

Tags

CCSS.HSF.BF.B.3

What is the equation of the function?

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

Tags

CCSS.HSF-IF.C.7D

Describe the transformation from the parent graph

• Reflect over x, right 3, down 4

• Reflect over y, right 3, down 4

• Reflect over x, right 3, up 4

• Reflect over y, left 3, down 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

What shifts have occurred?

• left 1, up 5
• left 1, down 5
• right 1, down 5
• right 1, up 5

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

f(x) = (2)^x+3

• Vertical translation up 3

• Horizontal translation left 3

• Horizontal translation right 3

• Vertical compression by 1/2

• No transformation

Tags

CCSS.HSF.BF.B.3

f(x) = 2^x-1 + 3 (Select ALL that apply!)

• Horizontal translation left

• Horizontal translation right

• Vertical translation up

• Vertical translation down

• Vertical stretch

Tags

CCSS.HSF.BF.B.3

Which transformations are involved in the equation  $y=\frac{1}{2}\sqrt{x+1}-1$  ?

• Horizontal translation left

• Vertical compression

• Vertical translation down

• Horizontal translation right

• Vertical stretch

Tags

CCSS.HSF.BF.B.3