Transformations and Parent Functions

What is the name of the function family pictured?

• Squared Function

• Quadratic Function

• Linear function

• Absolute value function

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Which equation is an absolute value graph shifted right 5 units?

• y = |x - 5|
• y = |x + 5|
• y = |x| + 5
• y = -5|x|

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

Describe the transformation.

• up 3

• down 3

• left 3

• right 3

Tags

CCSS.HSF.BF.B.3

f(x) = x² - 6

• Vertical translation up

• Vertical translation down

• Horizontal translation left

• Horizontal translation right

• Reflection over the x-axis

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

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

If the blue function is f(x)=x², then the red function must be

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.11

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

• translates it left one unit and down 9 units

• translates it right one unit and down 9 units

• translates it up one unit and right 9 units

• translates it down one unit and left 9 units

Tags

CCSS.HSF.BF.B.3

What shifts have occurred?

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10