Intro to Transformations of Functions

Describe the transformation from the rational parent function to function f: f\left(x\right)=\frac{1}{x+2}-1

• shift up 1, right 2

• shift down 1, left 2

• shift up 1, left 2

• shift down 1, right 2

Describe the transformation from the rational parent function to the function g (check all boxes that apply): g(x)=rac{2}{x-3}+5

• shift up 5

• shift right 3

• shift left 3

• vertical stretch by a factor of 2

• vertical reflection

Describe the transformation from the rational parent function to the function f (check all boxes that apply):

• shift down 3

• shift left 4

• shift right 4

• vertical stretch by a factor of 5

• vertical reflection

• shift left 1

• shift right 5

• shift down 5

• vertical stretch by a factor of 4

• vertical reflection

What are the transformations?
y=(x-2)³+4

• Horz shift right 2      Vert shift up 4

• Horz shift left 2    Vert shift up 4

• Horz shift right 2      Vert shift down 4

• Horz shift left 2      Vert shift down 4

Describe the transformation of the graph  y = -(x - 4)³ + 5

• Up 5 and Left 4 

• Reflect x-axis, Left 4, Up 5

• Reflect x-axis, Right 4, Up 5

• Right 4 and up 5

Which equation below is a cubic function translated left 4 units?

• y = x³ + 4

• y = (x + 4)³

• y = (x - 4)³

• y = 4x³

Which equation represents a parent function y = x³ translated 4 units to the right and 1 unit up?

• y = (x + 4)³ + 1

• y = (x - 4)³ + 1

• y = (x + 1)³ + 4

• y = (x - 1)³ + 4

The graph shows the function f(x)=x³ in blue and another function g(x) in red.  Which could be the equation for g(x)?

• g(x) = -x³

• g(x) = x³ - 1

• g(x) = (x + 1)³

• g(x) = (x - 1)³

Write a cubic functions with the following transformations.
-Up 2
-Left 5

• y = (x + 5)³ + 2

• y = (x - 5)³ - 2

• y = (x - 5)³ + 2

• y = (x + 5)³ - 2