Exponential Transformation

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

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

 $f\left(x\right)=0.4^x-1$ 
 $g\left(x\right)=0.4^x-2$  

 

• Down 1 unit
  

• Down 2 units

• Up 1 unit

• Up 2 units

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

 $g\left(x\right)=0.5^{x-3}$   
 $f\left(x\right)=0.5^x$  

• Left 3 units

• Right 3 units

• Up 3 units

• Down 3 units

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

 $g\left(x\right)=0.5^{x-3}$   
 $f\left(x\right)=0.5^x$  
Be careful!  Pay attention to the order of the functions.

• Left 3 units

• Right 3 units

• Up 3 units

• Down 3 units

Describe the transformation:

 $f\left(x\right)=4^{x+2}-3$  

• Translate Up 2 and Right 3

• Translate Right 2 and Down 3

• Translate Left 2 and Down 3

• Translate Down 2 and Right 3

Describe the transformation:

 $f\left(x\right)=2\cdot4^x+5$  

• Vertically Stretch by 2 and Up 5

• Vertically Compress by 1/ 2 and Up 5

• Horizontally Stretch by 2 and Up 5

• Horizontally Compress by 1/2 and Up 5

What is the parent function of $f(x)=2(1/2)^x-7$  ?

•  $f\left(x\right)=2$  

•  $f\left(x\right)=\frac{1}{2}$  
  

•  $f\left(x\right)=2^x$  
  

•  $f\left(x\right)=\left(\frac{1}{2}\right)^{ }$  

What is the y-intercept of the function  $y=4\left(5\right)^x?$  

• (0, 0)

• (0, 4)

• (0, 5)

Describe the transformations of the exponential function shown.

• Stretch by a factor of 7, shift left 4, and shift down 7.

• Stretch by a factor of 7, shift right 4, and shift down 7.

• Shrink by a factor of 7, shift left 4, and shift down 7.

• Stretch by a factor of 7, shift left 4, and shift up 7.

Is the function INCREASING or DECREASING?
  y = (2/3)^-x

• Increasing
• Decreasing