Parent Functions, Key Features, Transformations, Composition

Tell how the graph transformed.
y = (x - 3)²

• Translated right 3

• Translated left 3

• Translated up 3

• Translated down 9

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

Q1. What is the type of function represented by the equation y = ax^3 + bx^2 + cx + d?

• A) Absolute Value

• B) Quadratic

• C) Cubic

• D) Linear

• Left 2; Down 1
• Reflection over x-axis; Left 2; Up 1
• Reflection over x-axis; Left 2; Down 1
• Reflection over y-axis; Right 2; Down 1

• Cube Root
• Square Root
• Quadratic Root
• Cubic

• Square Root
• Quadratic
• Cube Root
• Cubic

• Cubic
• Quadratic
• Absolute Value
• Square Root

• Square Root
• Quadratic
• Absolute Value
• Linear

• f(x)=x² + 2
• f(x) = (x-2)² + 1
• f(x)= (x+2)² - 1
• f(x)= (x+2)² + 1

• f(x) = −(x−2)³−1
• f(x) = −(x+2)³−1
• f(x) = −(x−2)³ + 1
• f(x) = −(x+2)³ + 1