Rational Transformation

Identify the horizontal and the vertical asymptotes of the function shown in the graph.

• horizontal asymptote: y = -3; vertical asymptote: x = -4

• horizontal asymptote: x = 3; vertical asymptote: y = -4

• horizontal asymptote: y = -3; vertical asymptote: x = 4

• horizontal asymptote: x = -3; vertical asymptote: y = 4

What are the asymptotes?

• x=-3, y=1

• x=3, y =1

• x=-3, y =-1

• x=3 y=-1

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

• Stretched by a factor of 3

• Compressed by a factor of 3

• Shifted up by 3

• Shifted down by 3

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 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 left and up

• Translated right and up

• Translated left and down

• Translated right and down

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

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

Which is the graph of the rational equation:

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