Parent Functions and Shifts

Which parent function matches the graph?

• y = |x|
• y = ∛(x)
• y = x²
• y = a⋅b^x

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.2

What type of function is shown?

• absolute value
• quadratic
• linear
• exponential

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

CCSS.HSF.LE.A.1

CCSS.HSA.CED.A.1

Which parent function matches the graph?

• f(x) = √(x)
• f(x) = ∛(x)
• f(x) = |x|
• f(x) = a⋅b^x

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Name the parent function. 

• linear
• square root
• cubic
• exponential

Tags

CCSS.HSF.LE.A.1

g(x)=f(x)-4
Describe the transformation to f(x) that results in g(x).

• f(x) has been translated down 4.
• f(x) has been translated up 4.
• f(x) has been translated 4 units the left
• f(x) has been translated 4 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

g(x)=f(x)+6
Describe the transformation to f(x) that results in g(x).

• f(x) has been translated up 6.
• f(x) has been translated down 6.
• f(x) has been translated to the right 6
• f(x) has been translated to the left 6

Tags

CCSS.HSF.BF.B.3

g(x)=f(x-4)
Describe the transformation to f(x) that results in g(x).

• f(x) has been translated to the right 4.
• f(x) has been translated to the left 4.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Match the equation to its description.

• Right 2 and up 2

• Left 2 and up 2

• Right 2 and down 2

• Left 2 and down 2

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.2

Name the parent function.

• square root
• quadratic
• cubic
• exponential

Tags

CCSS.HSF.IF.B.4

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