Transformations of Rational Functions

• Stretch of 2 and Left 1

• Compression of 2 and Left 1

• Stretch of 2 and Right 1

• Compression of 2 and Right 1

Describe all transformations from the parent function g(x)=1/x to f(x).

• Shift right 5 and shift up 7

• Shift left 7 and shift up 5

• Reflect over the x-axis, shift up 7

• Shift left 5 and shift up 7

Describe the transformations from the parent function g(x) = 1/x

• vertical compression by 3, right 7

• vertical stretch by 3, right 7

• vertical stretch by 3, up 7

• vertical compress by 1/3, up 7

What is the horizontal asymptote? 

• x = 2

• x = 7

• y = 2

• y = 7

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

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

• Shifts left 2 units and up 5 units.

• Shifts right 2 units and up 5 units.
  

• Shifts right 2 units and down 5 units.

• Shifts left 2 units and down 5 units.

Describe the transformations from the parent function

• Right 5  and  Up 7

• Left 7  and  Up 5

• Right 5 and  Down 7

• Left 5  and  Up 7

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.