Function Transformations

Describe the transformation:
f(3x)

• Horizontal Stretch

• Horizontal Compress

• Vertical Stretch

• Vertical Compress

Describe the transformation:
4f(x)

• Horizontal Stretch

• Horizontal Compress

• Vertical Stretch

• Vertical Compress

Describe the transformation from dotted to solid.

• f(x + 4)

• f(x - 4)

• f(x) + 4

• f(x) - 4

Describe the transformation from dotted to solid.

• -f(x)

• f(x - 4)

• f(x) - 4

• f(-x)

Describe the transformation from dotted to solid.

• f(x + 5) + 3

• f(x +3) + 5

• f(x - 5) + 3

• f(x - 3) + 5

Given f(x) = (x + 6)² - 2 , how did we transform from the parent function?

• Horizontal shift left 6, vertical shift up 2

• Horizontal shift left 6, vertical shift down 2

• Horizontal shift right 6, vertical shift down 2

• Horizontal shift right 6, vertical shift up 2

If the blue graph is
f(x) = x² 
then the red must be...

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²

• Vertical compression (wider)

• Vertical stretch (narrower)

• Vertical compression (wider) and reflection over x-axis

• Vertical stretch (narrower) and reflection over x-axis

Describe the transformation of the equation below from the absolute value parent function.

• Left 4

• Right 4

• Up 4

• Down 4