Transformation of Exponential and Logarithmic Functions

Transformation of Exponential and Logarithmic Functions

Multiple Select

 $f\left(x\right)=e^x$ ; $g\left(x\right)=e^x+4$  

What is/are the transformations of the given function?

• Vertical Shrink by a factor of 2

• Reflection in the x-axis

• Horizontal translation 2 units to the left

• Vertical translation 4 units up

Multiple Select

 $f\left(x\right)=e^x$  ;

 $g\left(x\right)=e^{x+5}$  

What is/are the transformations of the given function?

• Horizontal translation 5 units left

• Reflection in the y-axis

• Vertical translation 5 units up

• Horizontal shrink by a factor of 1/5

Multiple Select

 $f\left(x\right)=3^x$  ;

 $g\left(x\right)=-3^x+2$  

What is/are the transformations of the given function?

• Vertical translation 2 units up

• Reflection in the x-axis

• Horizontal Translation 2 units down

• Vertical Stretch by a factor of 2

Multiple Select

 $f\left(x\right)=2^x$  ;

 $g\left(x\right)=2^{-x-3}$  

What is/are the transformations of the given function?

• Reflection in the x-axis

• Vertical translation 3 units left

• Reflection in the y-axis

• Horizontal translation 3 units to the right

Multiple Select

 $f\left(x\right)=\log_{\frac{1}{3}}x$  ;

 $g\left(x\right)=3\log_{\frac{1}{3}}x$  

What is/are the transformations of the given function?

• Vertical translation by a factor of 3

• Vertical stretch by a factor of 3

• Horizontal shrink by a factor of 1/3

• Horizontal translation 3 units up

Multiple Select

 $f\left(x\right)=\log_4x$  ;

 $g\left(x\right)=\log_4\left(x+5\right)$  

What is/are the transformations of the given function?

• Horizontal translation 5 units to the left

• Vertical translation 5 units up

• Reflection in the x-axis

• Reflection in the y-axis

Multiple Select

 $f\left(x\right)=\log_5x$  ; $g\left(x\right)=\log_5\left(-x\right)+3$  

What is/are the transformations of the given function?

• Reflection in the x-axis

• Reflection in the y axis

• Horizontal translation 3 units right

• Vertical translation 3 units up