Transformation of Rational Functions

How is this function transformed from the parent function?

• Translated left and up

• Translated right and up

• Translated left and down

• Translated right and down

What is the horizontal asymptote of the function given?

• y = 2

• x = 1

• x = 2

• y = -1

What is/are the vertical asymptote(s)?

• x=-2

• x=2 and x=3

• x=-3

• x=3

• Shifts left 4 units and up 1 unit.

• Shifts left 4 units and down 1 unit.
  

• Shifts right 4 units and up 1 unit.
  

• Shifts right 4 units and down 1 unit.

Describe the transformations from the parent function, f(x) = 1/x.

• Shift left 9 units, shift up 2 units

• Shift right 9 units, shift up 2 units

• Shift right 9 units, shift down 2 units

• Shift right 2 units, shift down 9 units

How is this function transformed from the parent function ?

• Translated Right 5 and Up 1

• Translated Right 5 and Down 1

• Translated Left 5 and Up 1

• Translated Left 5 and Down 1

How is this function transformed from the parent function f(x) = 1/x?

• Reflected over the x-axis

  Translated up by 2 units

• Reflected over the y-axis

  Translated down by 2 units

• Reflected over the y-axis

  Translated up by 2 units

• Reflected over the x-axis

  Translated left by 2 units

Describe the transformations from the parent function \(y=\frac{1}{x}\)

• Right 5  and  Up 7

• Left 7  and  Up 5

• Right 5 and  Down 7

• Left 5  and  Up 7

Describe the transformations of the function.

• Shift up by 2 units

  Reflected over the x-axis

• Shift down by 2 units

  Reflected over the y-axis

• Shift up by 2 units

  Reflected over the y-axis

• Shift left by 2 units

  Reflected over the x-axis

Which rational function has been compressed by a factor of 1/4, reflected across the x-axis, shifted to the left 3 units, and shifted down 5 units.