Linear Transformations to Linear Parent Function

How is the blue graph different from the red parent graph? Mark all that are true.

• shifted 1 unit up from the red parent graph

• shifted 2 units right from the red parent graph

• flipped over the x-axis from the red parent graph

• flipped over the y-axis from the red parent graph

• shifted 1 unit down from the red parent graph

Describe the transformations for the following function h\left(x\right)=2\left(x-3\right)^2+5 from the parent function g\left(x\right)=x^2

• vertical stretch times 2

• horizontal stretch times 2

• shift left 3 units

• shift up 5 units

• shift right 3 units

Q1. What is the type of equation represented by the following expression?

• A) Square Root

• B) Quadratic

• C) Absolute Value

• D) Linear

• Consta

• Linear

• Quadratic

• Absolute Value

What type of function is shown?

• absolute value

• quadratic

• linear

• exponential

f(x) = x

• Constant

• Linear

• Quadratic

• Absolute Value

• Reflect over the x-axis, vertical stretch by 0.2, translate up 1

• Reflect over the x-axis, vertical compression by 0.2, translate up 1

• Reflect over the y-axis, vertical stretch by 0.2, translate up 1

• Reflect over the y-axis, vertical compression by 0.2, translate up 1

This line is known as f(x) and what else?

• grandma function

• grandpa function

• parent function

• baby function

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Name the parent function.

• linear

• quadratic

• absolute value

• constant

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

• Translation left 2 units

• Translation right 2 units

• Vertical translation up by 2 units.

• Reflection across the x-axis.