Parent Functions and Transformations Practice

Given the function f(x) = 3x - 7, what is the parent function?

• f(x) = x

• f(x) = x^2

• f(x) = x^3

• f(x) = \sqrt{x}

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Given the function f(x) = -(x - 3)^2, what is the parent function?

• f(x) = x

• f(x) = x^2

• f(x) = x^3

• f(x) = \sqrt{x}

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Given the function h(x) = -|x| - 7, what is the parent function?

• f(x) = x

• f(x) = |x|

• f(x) = x^2

• f(x) = \sqrt{x}

Given the function f(x) = -(x - 3)^2, what is the transformation from the parent function?

• Reflection over the x-axis and horizontal shift left 3 units

• Reflection over the x-axis and horizontal shift right 3 units

• Reflection over the y-axis and horizontal shift left 3 units

• Reflection over the y-axis and horizontal shift right 3 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

Given the function f(x) = 2^x - 4, what is the parent function and the transformation(s)?

• Linear Function, stretch by 3, shifts down 7 units

• Quadratic Function, reflects x-axis, shifts right 3 units

• Exponential Function, shifts down 4 units

• Square Root Function, shifts right 2 units, shifts up 3 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

What is the transformation for the function f(x) = 3x - 7?

• Stretch by 3, shifts down 7 units

• Reflects x-axis, shifts right 3 units

• Shifts down 4 units

• Shifts right 2 units, shifts up 3 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

What is the transformation for the function f(x) = 2^x - 4?

• Stretch by 3, shifts down 7 units

• Reflects x-axis, shifts right 3 units

• Shifts down 4 units

• Shifts right 2 units, shifts up 3 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

What is the transformation for the function g(x) = √(x - 2) + 3?

• Stretch by 3, shifts down 7 units

• Reflects x-axis, shifts right 3 units

• Shifts right 2 units, shifts up 3 units

• Shifts down 4 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

What is the transformation for the function h(x) = -|x| - 7?

• Stretch by 3, shifts down 7 units

• Reflects x-axis, shifts right 3 units

• Shifts down 4 units

• Reflects x-axis, shifts down 7 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

If the blue is f(x)=x^2, the red must be

• g(x)=(x+3)²
• g(x)=(x-3)²
• g(x)=x²+3
• g(x)=x²-2

Tags

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.BF.B.3