Transformations of Exponential Functions "h" and "k"

What transformation(s) maps the parent function

 $a\left(x\right)=5^x$   to  $b\left(x\right)=5^{x+2}-4$  ?

• Translate left 2 units

• Translates right 2 units

• Translate up 2 units

• Translate down 4 units

• Translate left 4 units

What transformation(s) maps the parent function  $f\left(t\right)=4^t$   to  $g\left(t\right)=4^{t-7}+1$  

• Translate left 7 units

• Translates right 7 units

• Translate down 7 units

• Translate right 1 unit

• Translate up 1 unit

What transformation(s) maps the parent function  $c\left(x\right)=\left(\frac{2}{3}\right)^x$   to  $e\left(x\right)=\left(\frac{2}{3}\right)^x+5$  ?

• Translate left 5 units

• Translates right 5 units

• Translate down 5 units

• Translate up 5 units

• Translate up  $\frac{2}{3}$  units

What transformation(s) maps the parent function  $f\left(x\right)=2^x$  to  $g\left(x\right)=2^{x-9}-3$  ?

• Translate left 9 units

• Translates right 9 units

• Translate up 3 units

• Translate down 3 units

• Translate up 2 units

What transformation(s) maps the parent function  $r\left(x\right)=8^x$   to  $r\left(x\right)=8^{x-4}$  ?

• Translate left 4 units

• Translates right 4 units

• Translate down 8 units

• Translate up 8 units

• Translate right 8 units

What transformation(s) maps the parent function  $f\left(x\right)=7^x$  to  $g\left(x\right)=2+7^{x+3}$  ?

• Translate left 3 units

• Translates right 3 units

• Translate up 3 units

• Translate right 2 units

• Translate up 2 units

What are the transformations that map the parent function , $p\left(x\right)=2^x$ , to the blue function. What is the equation of the blue function?

• Translate right 1 unit and down 3 units

• Translate left 1 unit and up 3 units

•  $f\left(x\right)=2^{x+1}-3$  

•  $f\left(x\right)=2^{x-1}-3$  

•  $f\left(x\right)=2^{x-3}+1$  

 The parent function  $p\left(x\right)=\left(\frac{1}{2}\right)^x$   is shown in red and is translated. What is the equation of the blue graph?

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

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

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

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

• Translates left 8 units

• Translates right 8 units

• Translates up 8 units 

• Translates down 8 units