Describing Effects of Transformations Functions

Which of the following transformations are present (select all that apply)?

• reflection over horizontal axis

• reflection over vertical axis

• horizontal compression

• vertical shift

• Rotation about origin

If the blue is f(x)=x^2, then the red must be

• g(x)=x²-5

• g(x)=x²+5

• g(x)=(x-5)²

• g(x)=(x+5)²

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

What are the transformations of this functions compared to the parent function y = √(x)?

• Shifted right 5, shifted down 2, and reflected over the x-axis

• Reflected over the x-axis, vertical stretch, and shifted right 5

• Reflected over the x-axis, vertical stretch, and shifted left 5

• Shifted right 5, shifted down 2

f(x) = 5x² + 2

• Stretch of 5
  Up 2

• Shrink of 5
  Up 2

• Stretch of 5
  Down 2

• Shrink of 5
  Down 2

If the blue is f(x)=x^2, the red must be

• g(x)=(x+3)²

• g(x)=(x-3)²

• g(x)=x²+3

• g(x)=x²-2

What are the following transformations:
f(-x) - 4

• reflection over the x axis and 4 units right

• reflection over the x axis and 4 units down

• reflection over the y axis and 4 units right

• reflection over the y axis and 4 units down

Which of the following transformations are present?
-2f(x - 1) + 2

• Shift 1 unit down

• Shift 1 unit up

• Shift 1 unit left

• Shift 1 unit right

Describe the transformation that occurred 
h(x) = 1/5f(x)

• Up 5 Units

• Less Steep

• Steeper

• Down 5 Units

Which equation describes the transformation of shifting f(x)=x³ four units down?

• x³+ 4

• x³- 4

• (x - 4)³

• (x + 4)³