Exponential Tranformations

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

What is the transformation?

• Vertical Translation up 2 and Horizontal translation right 1
• Vertical Translation down 2 and Horizontal Translation left 1
• Horizontal Translation left 2 and Vertical Translation up 1
• Horizontal Translation right 2 and Vertical Translation down 1

Which graph best represents

 $y=2^x-4$  

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The graph

 $g\left(x\right)=2^{\left(x-3\right)}$ is shown, which statement best describes the transformation from the parent graph  $f\left(x\right)=2^x$ .

• Vertically shift up 3

• Vertically shift down 3

• Horizontally shift right 3

• Horizontally shift left 3

Which of the following is NOT a transformation of the equation

 $f\left(x\right)=3\cdot2^{\left(x-3\right)}+3$  

• Shift horizontally left 3 units

• Shift vertically up 3 units

• Shift horizontally right 3 units

• Vertically stretched by a factor of 3