Exponential Transformation Identification

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

Describe the transformation:

 $f\left(x\right)=6^{3x}$  

• Horizontally Stretch by 3

• Horizontally Compress by 1/3

• Vertically Stretch by 3

• Vertically Compress by 1/3

Describe the transformation:

 $f\left(x\right)=\left(6\right)^{\frac{1}{2}x}$  

• Horizontally Stretch by 2

• Horizontally Compress by 1/2

• Vertically Stretch by 2

• Vertically Compress by 1/2

Describe the transformation:

 $f\left(x\right)=\frac{1}{3}\cdot e^{x-1}$  

• Horizontally Stretch by 3 and Right 1

• Horizontally Compress by 1/3 and Left 1

• Vertically Stretch by 3 and Right 1

• Vertically Compress by 1/3 and Right 1

What is the parent function of the following:

 $f\left(x\right)=2\cdot5^{6x}+1$  

•  $f\left(x\right)=5^{6x}$  

•  $f\left(x\right)=5^x$  

•  $f\left(x\right)=6x$  

•  $f\left(x\right)=x+1$  

Check ALL of the transformations found in the function below:

 $f\left(x\right)=3\cdot\left(8\right)^{2x}-1$  

• Vertical stretch by 3

• Horizontal compression by 1/2

• Horizontal stretch by 2

• Left 1

• Down 1

Check ALL of the transformations found in the function below:

 $f\left(x\right)=\left(\frac{1}{3}\right)\cdot\left(\frac{1}{2}\right)^{x-3}$  

• Vertical compression by 1/3

• Vertical compression by 1/2

• Left 3

• Right 3

• Horizontal stretch by 2

What is the transformation found in the function below:

 $f\left(x\right)=7\cdot\left(\frac{2}{3}\right)^{2\left(x-1\right)}+4$  

• Vertical stretch by 7, Horizontal stretch by 2, Right 1 and Up 4

• Vertical stretch by 7, Horizontal compression by 1/2, Left 1 and Up 4

• Vertical compression by 7, Horizontal compression by 2, Right 1 and Up 4

• Vertical stretch by 7, Horizontal compression by 1/2, Right 1 and Up 4

Describe the transformation found in the function below:

 $f\left(x\right)=\frac{1}{2}\cdot4^{2x}$  

• Vertical stretch by 2, Horizontal stretch by 2

• Vertical compression by 1/2, Horizontal compression by 1/2

• Vertical stretch by 2, Horizontal compression by 1/2

• Vertical compression by 1/2, Horizontal stretch by 2