Transformations with Rational Functions

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

What is the horizontal asymptote? 

• x = 2

• x = 7

• y = 2

• y = 7

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)= \frac{2}{x-3}+5

• shift up 5

• shift right 3

• shift left 3

• vertical stretch by a factor of 2

• vertical reflection

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

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

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

• Translate left 9 units, shift up 2 units

• Translate right 9 units, shift up 2 units

• Translate right 9 units, shift down 2 units

• Translate right 2 units, shift down 9 units

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

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.