7.4 Exponential Transformations

Growth or Decay

• Growth of 1/4

• Decay of 1/4

Stretch or Compression

• Stretch of 5

• Compression of 5

• None

Reflection

• Reflection over the x-axis

• None

Horizontal Asymptote

• y = 0

• y = 5

• y = 6

Stretch or Compression

• Stretch of 1/3

• Compression of 1/3

• Stretch of 2

• Compression of 2

If g(x) is a transformation of f(x), describe the transformation.

 $f\left(x\right)=2^x$      $g\left(x\right)=2^x+4$   

• Up 4 units

• Down 4 units

• Left 4 units

• Right 4 units

What is the transformation?

• Vertical Translation up 2
• Vertical Translation down 2
• Horizontal Translation left 2
• Horizontal Translation right 2

How did the graph transform from the parent function? Select all that apply

y=-5(2)^(x)

• Down 5

• Vertical Stretch by 5

• Left 2

• Right 2

• Flipped/Reflected over the x-axis

Is this exponential growth or decay?

• Growth
• Decay

• Shifted up 5

• Shifted down 5

• Reflection over the x-axis

• Reflection over the y-axis