Rational Expression Graphs

Describe the transformation of the function.

• shift left 3 units

• shift right 3 units

• shift up 3 units

• shift down 3 units

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

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 equation of the rational function graphed?

What is the equation of the graph pictured?

Mathematical Equivalence

ON

Label the graph

b

c

d

e

a

Horizontal Asymptote

y-intercept

origin

Vertical Asymptote

x-axis

Describe the transformations of the 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

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 are the asymptotes?

• x=-2 and y=-1

• x=-2 and y=1

• x=2 and y=1

• x=2 and y = -1