Transformations

f(x) = 5x² + 2

• Stretch of 5
  Up 2

• Shrink of 5
  Up 2

• Stretch of 5
  Down 2

• Shrink of 5
  Down 2

What are the following transformations?
- f(x+2)

• reflection over the y axis and 2 units to the right

• reflection over the x axis and 2 units right

• reflection over the y axis and 2 units left

• reflection over the x axis and 2 units left

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

• x³+ 4

• x³- 4

• (x - 4)³

• (x + 4)³

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

For  $y=a\left(b\right)^x+k$  , how does adding a constant "k" transform the parent function?

• Horizontal shift

• Vertical Translation

• Reflection over the x-axis

• Reflection over the y-axis

How has the function  $y=7\left(3\right)^x-5$  been transformed from the parent function  $y=7\left(3\right)^x$  ?

• Translated up 5

• Translated down 5

• Reflection over the x-axis

• Reflection over the y-axis

• Vertical Stretch

• Vertical Shrink

• Translation up 5 units

• Reflection across the x-axis

• Vertical Stretch

• Vertical Shrink

• Translation down 3 units

• Reflection across the x-axis

• Shrink by undefined , shift down 3

• Stretch by undefined , shift right 3

• Stretch by undefined , shift left 3

How did we transform from y=x^2?

y = -3x²

• vertical reflection and vertical shift down

• vertical reflection and vertical stretch

• horizontal stretch

• vertical reflection and vertical shrink