Quadratic Function Dilations

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

Describe the transformations from the original parent function f(x) = x².

g(x) = 5x² + 2

• Vertical Compression of 5

  Translated Down 2

• Vertical Compression of 5

  Translated Up 2

• Vertical Stretch of 5

  Translated Up 2

• Vertical Shrink of 5

  Translated Down 2

In the equation f(x)=5(x+3)²-10 what does the 5 do?

• Vertical stretch by 5

• Horizontal compress by 5

• Reflect

• Move up 5

Compare the function y = 5x² to the parent function y = x²

• Wider

• Narrower

"a" causes the parabola to vertically ​ (a)   when a < 1.

• compress

• stretch

• F

• G

• H

• J

• A

• B

• C

• D

Answer explanation

1. 1. Graph the parent function

2. 2. Graph the answer choices

3. 3. Which one matches the graph in the question

"a" causes the parabola to vertically ​ (a)   when a > 1.

• stretch

• compress

Vertical Dilation

a

b

c

d

Vertical Dilation

Horizontal Translation

Horizontal Dilation

Vertical Translation

Identify the possible functions that matches each specific transformation listed from the parent function f(x) = x^2

a

b

c

d