QUIZ: Exponentials & LOGS

Write an equation to shift the parent function 8 units to the left, 4 units up and vertically stretch the graph by a factor of 3

•  $f\left(x\right)=4\cdot2^{x-3}+8$  

•  $f\left(x\right)=3\cdot2^{x+8}+4$  

•  $f\left(x\right)=3\cdot2^{x-8}+4$  

•  $f\left(x\right)=3\cdot2^{x-4}+8$  

Tags

CCSS.HSF.BF.B.3

Describe the transformations of the following:

 $f\left(x\right)=6\cdot2^{x-1}$  

• Vertically Stretched by a factor of 6 and moves 1 unit to the right

• Vertically Stretched by a factor of 6 and moves 1 unit to the left

• Vertically Stretched by a factor of 6 and moves 1 unit up

• Vertically Stretched by a factor of 6 and moves 1 unit down

Describe the transformations of the following:

 $f\left(x\right)=6\cdot2^x-1$  

• Vertically Stretched by a factor of 6 and moves 1 unit to the right

• Vertically Stretched by a factor of 6 and moves 1 unit to the left

• Vertically Stretched by a factor of 6 and moves 1 unit up

• Vertically Stretched by a factor of 6 and moves 1 unit down

Tags

CCSS.HSF.BF.B.3

Describe the transformations of the following:

 $f\left(x\right)=\frac{1}{3}\cdot2^x+5$  

• Vertically compressed by a factor of 1/3 and moves 5 units to the right

• Vertically compressed by a factor of 1/3 and moves 5 units to the left

• Vertically stretched by a factor of 1/3 and moves 5 units to the right

• Vertically compressed by a factor of 1/3 and moves 5 units up

• -4/3

• -5

• -3/2

• -7

Rewrite the equation in exponential form.

 $\log_{17}289=2$  

•  $17^2=289$  

•  $289^2=17$  

•  $2^{289}=17$  

•  $2^{17}=289$  

Tags

CCSS.HSF.BF.B.5

Rewrite the equation in exponential form.

 $\log_{16}16=1$  

•  $1^{16}=16$  

•  $16^{16}=1$  

•  $16^1=16$  

•  $0^{16}=1$  

Tags

CCSS.HSF.BF.B.5

Rewrite the equation in exponential form.

 $\log_6\ \frac{1}{216}=-3$  

•  $\left(\frac{1}{216}\right)^6=-3$  

•  $6^{-3}=\frac{1}{216}$  

•  $\left(\frac{1}{216}\right)^{-3}=6$  

•  $\left(-3\right)^6=\frac{1}{216}$  

Tags

CCSS.HSF.BF.B.5

Rewrite the equation in logarithmic for $19^2=361$  

•  $\log_{361}19=2$  

•  $\log_219=361$  

•  $\log_2361=19$  

•  $\log_{19}361=2$  

Tags

CCSS.HSF.BF.B.5

Rewrite the equation in logarithmic for $7^3=343$  

•  $\log_{343}3=7$  

•  $\log_7343=3$  

•  $\log_37=343$  

•  $\log_3343=7$  

Tags

CCSS.HSF.BF.B.5