Rational Transformations Holes Asymptotes Domain Range

Describe the transformation of the function.

• shift right by 3 units

• shift left by 3 units

• shift up by 3 units

• shift down by 3 units

Describe the transformations of the function, to its parent function

• Shifted right by 4 units

  Shifted down by 7 units

  Stretched Vertically

• Shifted right by 4 units

  Shifted up by 7 units

  Stretched Vertically

• Shifted right by 4 units

  Shifted down by 7 units

  Compressed Vertically

• Shifted left by 4 units

  Shifted down by 7 units

  Compressed Vertically

What are the asymptotes?

• x=-3, y=1

• x=3, y =1

• x=-3, y =-1

• x=3 y=-1

What is the end behavior as x approaches negative infinity?

• y approaches negative infinity

• y approaches positive infinity

• y approaches 1

• y approaches 2

Select all the information that applies to the given rational function.

• V.A. at x = 1

• No Holes

• H.A. at y = 0

• y-intercept at (0, 1/2)

Select all the information that applies to the given rational function.

• V.A. at x = -3 and x = 1

• Hole at (1, 0)

• H.A. at y = 2

• x-intercepts at (3,0) and (1, 0)

• Move Right 1 and Up 0

  VA: x = 1

  HA: y = 0

• Move Left 1 and Up 4

  VA: x = -1

  HA: y = 4

• Move Right 4 and Down 1

  VA: x = 4

  HA: y = -1

• Move Left 1 and Down 1

  VA: x = -1

  HA: y = -1

• Move Right 2 and Up 2

  VA: x = 2

  HA: y = 2

• Move Left 2 and Up 3

  VA: x = -2

  HA: y = 3

• Move Right 2 and Down 2

  VA: x = 2

  HA: y = -2

• Move Left 2 and Down 3

  VA: x = -2

  HA: y = -3

Identify the domain and range of the function:

Describe the transformation of the function.

• shift left 3 units

• shift right 3 units

• shift up 3 units

• shift down 3 units