Stretch and Compress Quadratic Functions

Compared to the parent function, f(x) = x², which of the following is the equation of the function after a vertical stretch by a factor of 3?

• A
• B
• C
• D

Compared to the parent function, f(x) = x², which of the following is the equation of the function after a vertical shrink by a factor of 1/3?

• A
• B
• C
• D

Compared to the parent function, f(x) = x², which of the following is the equation of the function after a horizontal shift to the right 7?

• A
• B
• C
• D

Compared to the parent function, f(x) = x², which of the following is the equation of the function after a horizontal shift to the left 2?

• A
• B
• C
• D

What are the transformations?
y=(x-2)³+4

• Horz shift right 2      Vert shift up 4
• Horz shift left 2    Vert shift up 4
• Horz shift right 2      Vert shift down 4
• Horz shift left 2      Vert shift up 4

What are the transformations?

• Right 2 and up 2
• Left 2 and up 2
• Right 2 and down 2
• Left 2 and down 2

• g(x)=2x²
• g(x)=0.5x²
• g(x)=x²+2
• g(x)=(x+2)²

af(x) is a...

• Vertical translation
• Horizontal stretch/compression
• Horizontal translation
• Vertical stretch/compression

Vertical stretch is af(x) when...

• a is greater than 0
• a is less than 0
• a is greater than 1
• a is a fraction/decimal

Vertical compression is af(x) when a is...

• a fraction/decimal and the graph flattens
• a number greater than 1 and the graph becomes steeper
• any type of number 
• any number less than 1