Transformation of Exponential Functions

What is the parent function of  $f(x)=2\cdot\left(\frac{1}{2}\right)^x-7$  ?

•  $f(x)=2$  

•  $f(x)=\left(\frac{1}{2}\right)$  

•  $f(x)=2^x$  

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

Tags

CCSS.HSF.BF.B.3

What is the transformation of  $f(x)=2\cdot\left(\frac{1}{2}\right)^x-7$  ?

• stretch by factor of 2
  down 7

• compress by factor of 1/2
  down 7

• stretch by 2

  up 7

• compress by factor of 1/2
  up 7

Tags

CCSS.HSF.BF.B.3

What is the parent function of $f(x)=-\frac{1}{3}\cdot(2)^x+3$  ?

•  $f(x)=\frac{1}{3}$  

•  $f(x)=2$  

•  $f(x)=2^x$  

•  $f(x)=\left(\frac{1}{3}\right)^x$  

Tags

CCSS.HSF.BF.B.3

What is the transformation of $f(x)=-\frac{1}{3}\cdot(2)^x+3$ ? 

• reflect over the x-axis
  compress by factor of 1/3
  up 3

• compress by factor of 1/3
  up 3

• reflect over the x-axis
  stretch by factor of 2
  up 3

• stretch by factor of 2
  up 3

Tags

CCSS.HSF.BF.B.3

What is the parent function of $f(x)=(2)^{x+4}-3$  ?

•  $f(x)=3$  

•  $f(x)=2^x$  

•  $f(x)=-3$  

•  $f(x)=(2)^{x+4}$  

Tags

CCSS.HSF.BF.B.3

What is the transformation of $f(x)=(2)^{x+4}-3$  ?

• stretch by factor of 2
  left 4
  down 3

• left 4

  down 3

• right 4

  up 3

• stretch by factor of 2
  right 4
  down 3

Tags

CCSS.HSF.BF.B.3

What is the parent function of $f(x)=(3)^{x-2}+1$ ? 

•  $f(x)=3^x$  

•  $f(x)=3$  

•  $f(x)=\left(3\right)^{x-2}$  

•  $f(x)=1$  

What is the transformation of f(x)=(3)^x-2+1

• left 2

  down 1

• left 2

  up 1

• right 2

  down 1

• right 2

  up 1

Tags

CCSS.HSF.BF.B.3

What is the parent function of f(x)=-3(4)^x-2-5

• f(x)=3^x

• f(x)=-3

• f(x)=4^x

• f(x)=-5

Tags

CCSS.HSF.BF.B.3

What is the transformation of $f(x)=-3\cdot(4)^{x-2}-5$  ?

• reflect over the x-axis, stretch by factor of 3
  right 2, down 5

• stretch by factor of 3
  right 2
  down 5

• reflect over the x-axis, compress by factor 1/3 
  left 2, down 5

• compress by factor of 1/3
  left 2
  down 5

Tags

CCSS.HSF.BF.B.3