Exponential Function Graphs and Transformations

Is the graph a representation of exponential growth or decay?

• Exponential growth

• Exponential decay

Tags

CCSS.HSF-IF.C.7E

What is the transformation from its parent function?

 $f\left(x\right)=3^x+2$  

• Vertical shift up 2

• Vertical shift down 2

• Horizontal shift left 2

• Horizontal shift right 2

Tags

CCSS.HSF.BF.B.3

 $f\left(x\right)=7\left(\frac{5}{9}\right)^{x-0.5}-22$  

Is the function a representation of exponential growth or decay?

• Exponential growth

• Exponential decay

Tags

CCSS.HSF-IF.C.8B

What is the transformation from its parent function?

 $f\left(x\right)=8\left(\frac{1}{3}\right)^x$  

• Horizontal Stretch by a factor of 8

• Horizontal Stretch by a factor of 1/8

• Vertical Stretch by a factor of 8

• Vertical Stretch by a factor of 1/8

Tags

CCSS.HSF.BF.B.3

 $f\left(x\right)=2^{x-1}-2$  

Check all transformations that apply for the function.

• vertical stretch by a factor of 2

• vertical shift right 1 unit

• horizontal shift right 1 unit

• vertical shift up 2 units

• vertical shift down 2 units

Tags

CCSS.HSF.BF.B.3

 $f\left(x\right)=-1\left(\frac{10}{7}\right)^{-3x}+6$  

Is the function a representation of exponential growth or decay?

• Exponential growth

• Exponential decay

Tags

CCSS.HSF-IF.C.8B

 $f\left(x\right)=2^x-4$  

Which graph best represents the above function?

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7E

 $f\left(x\right)=-8\left(4\right)^{-x-2}+11$  

Is the function a representation of exponential growth or decay?

• Exponential growth

• Exponential decay

Tags

CCSS.HSF-IF.C.8B

Which function has a y-intercept at (0,28)

• $f\left(x\right)=\left(2\right)^{x-28}$

• $f\left(x\right)=\left(2\right)^x+28$

• $f\left(x\right)=28\left(2\right)^x$

• $f\left(x\right)=28\left(x\right)^2$

Tags

CCSS.HSF-IF.C.7E

 $f\left(x\right)=5\left(3\right)^{x+2}-7$  

What is the horizontal asymptote of the function?

• y = 0

• y = -7

• y = 5

• y = -2

Tags

CCSS.HSF-IF.C.7E