Transformations of Exponential Functions

What is the asymptote of the function  $y=\left(5\right)^x+4?$  

• y = 0

• y = 4

• y = 5

• y = 9

How has the function  $y=\left(3\right)^x-5$  been transformed from the parent function  $y=\left(3\right)^x$  ?

• Shifted up 5

• Shifted down 5

• Reflection over the x-axis

• Reflection over the y-axis

How has the function  $y=-5\left(3\right)^x$  been transformed from the function  $y=5\left(3\right)^x$  ?

• Shifted up 5

• Shifted down 5

• Reflection over the x-axis

• Reflection over the y-axis

Which function matches the graph?

•  $y=-3\left(3\right)^x+2$ 

•  $y=-3\left(\frac{1}{3}\right)^x+2$ 

•  $y=-3\left(3\right)^x-2$ 

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

Tags

CCSS.HSF.LE.A.2

Which function matches the graph?

•  $y=-3\left(4\right)^x+2$ 

•  $y=-3\left(\frac{1}{4}\right)^x+2$ 

•  $y=3\left(4\right)^x+2$ 

•  $y=3\left(\frac{1}{4}\right)^x+2$ 

Tags

CCSS.HSF.LE.A.2

Which function matches the graph?

• $y=-\left(\frac{1}{4}\right)^x-2$

• $y=4^x-2$

• $y=-4^x-2$

• $y=\left(\frac{1}{4}\right)^x-2$

 $f\left(x\right)=3^x\ \ \ \ and\ \ \ g\left(x\right)=5\left(3\right)^x$  
What transformation has taken place from the parent function F(x) to g(x)?

• Vertical Stretch

• Vertical Shrink or Compression

• Translation up 5 units

• Reflection across the x-axis

 $f\left(x\right)=3^x\ \ \ \ and\ \ \ g\left(x\right)=0.2\left(3\right)^x$  
What transformation has taken place from the parent function f(x) to g(x)?

• Vertical Stretch

• Vertical Shrink or Compression

• Translation up 5 units

• Reflection across the x-axis

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth
• Exponential Decay
• Linear
• None

Tags

CCSS.HSF-IF.C.7E

What equation would yield a transformation right 3 units if your initial function was y=2^x

• y=2^x-3

• y=2^x+3

• y=2^(x+3)

• y=2^(x-3)