Exponential Transformations

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.

 $g\left(x\right)=\left(-3\right)2^x$   

 $f\left(x\right)=\left(3\right)2^x$  

• Down 3 units

• Stretch vertically

• Horizontal reflection

• Vertical reflection

 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!  This is not the same question at #4!

• Left 3 units

• Right 3 units

• Up 3 units

• Down 3 units

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

 $g\left(x\right)=\left(2\right)0.25^x$  
 $f\left(x\right)=0.25^x$  

• Horizontal stretch

• Horizontal compression

• Vertical stretch

• Vertical compression

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

 $f\left(x\right)=\left(\frac{2}{3}\right)^{-x}$  
 $g\left(x\right)=\left(\frac{2}{3}\right)^x$  

• Horizontal reflection

• Vertical reflection

• Reflect across the x-axis

• Reflect across the y-axis

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

 $f\left(x\right)=-3^x$  
 $g\left(x\right)=-3^{0.2x}$  

• Vertical reflection

• Vertical stretch

• Horizontal stretch

• Horizontal compression

 If f(x) is a transformation of g(x), describe the transformations.  
Select all that apply.

 $f\left(x\right)=\left(\frac{3}{7}\right)6^{-2x}$  
 $g\left(x\right)=6^x$  

• Vertical shift down 2 units

• Vertically compressed

• Vertical reflection

• Horizontal reflection

• Horizontal compression

 If f(x) is a transformation of g(x), describe the transformations.  Select all that apply.

 $f\left(x\right)=\left(-3\right)10^{-0.4x}$   $g\left(x\right)=10^{-x}$  

• Vertical reflection

• Horizontal reflection

• Vertical stretch

• Vertical compression

• Horizontal stretch