Identifying Function Transformations

• Vertical stretch by a factor of 4

• Horizontal shift 7 units to the left

• Reflection over the x-axis

• Vertical shift 8 units down

• Horizontal shift 7 units to the right

• Reflection over the y-axis

• Vertical shift 8 units up

• Vertical shift 8 units up

• Reflection over the x-axis

• Horizontal shift 7 units to the left

• Horizontal compression by a factor of 4

• Vertical stretch by a factor of 4

• Reflection over the x-axis

• Horizontal shift 7 units to the left

• Vertical shift 8 units down

• Vertical stretch by a factor of 4

• Horizontal shift 7 units to the left

• Reflection over the x-axis

• Vertical shift 8 units down

• Vertical shift 8 units up

• Horizontal shift 7 units to the left

• Reflection over the x-axis

• Horizontal compression by a factor of 2

Tell how the function transformed from y =|x|
y = -2|x|

• Translated left 2 units

• Reflected over x-axis

• Stretched vertically and reflected over x-axis

• Compressed vertically and reflected over the x-axis

Describe the transformation from the parent graph

• Reflect over x, right 3, down 4

• Reflect over y, right 3, down 4

• Reflect over x, right 3, up 4

• Reflect over y, left 3, down 4

Describe the transformations from the original parent function f(x) = x².
g(x) = 5x² + 2

• Vertical Stretch of 5
  Down 2

• Vertical Shrink of 5
  Up 2

• Vertical Stretch of 5
  Up 2

• Vertical Shrink of 5
  Down 2

The blue function is the parent function f(x) = x³. Which of the following is the correct equation for the red function, g(x)?

• g(x)=x³+1

• g(x)=x³-1

• g(x)=(x-1)³

• g(x)=(x+1)³