IM1 - Vertical Translation of Exponential Functions

Describe the vertical translation:

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

• Shifted up by 3

• Shifted down by 3

• Shifted up by 2

• No vertical shift

Which function, below, shows a vertical shift up by 7 from:  $f\left(x\right)=4^x$  

•  $g\left(x\right)=7\left(4\right)^x$  
  

•  $g\left(x\right)=4^x-7$  
  

•  $g\left(x\right)=4^x+7$  
  

•  $g\left(x\right)=4\left(7\right)^x$  
  

Describe the vertical translation:

 $f\left(x\right)=-\left(3\right)^x\ \rightarrow\ g\left(x\right)=-\left(3\right)^x+9$  

• Shifted up by 9

• Shifted down by 1

• Shifted down by 9

• No vertical shift

Which function, below, shows a vertical shift down by 1 from:  $f\left(x\right)=-\left(\frac{1}{2}\right)^x$  

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

•  $g\left(x\right)=-\left(\frac{1}{2}\right)^x+1$  
  

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

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

In $f\left(x\right)=ab^x+c$ , which parameter indicates a vertical shift?

• a

• b

• c

• x

Describe the vertical shift from f(x) to g(x).

• Shifted 5 up

• Shifted 4 up

• Shifted 4 down

• Shifted 5 down

Describe the vertical shift from f(x) to g(x).

• Shifted down by 6

• Shifted down by 4

• Shifted down by 7

• Shifted up by 6