Transformations of Exponential Functions

For  $y=a\left(b\right)^x+k$  , how does adding a constant "k" transform the parent function?

• Horizontal shift

• Vertical Translation

• Reflection over the x-axis

• Reflection over the y-axis

How has the function  $y=7\left(3\right)^x-5$  been transformed from the parent function  $y=7\left(3\right)^x$  ?

• Translated up 5

• Translated down 5

• Reflection over the x-axis

• Reflection over the y-axis

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

• Vertical Stretch

• Vertical Compression

• Translation up 5 units

• Reflection across the x-axis

Tags

CCSS.HSF.BF.B.3

 $f\left(x\right)=0.5^x\ \ \ \ and\ \ \ g\left(x\right)=-3\left(0.5\right)^x$  
What transformations have taken place from the parent function to g(x)

• Vertical Stretch

• Vertical Compression

• Translation down 3 units

• Reflection across the x-axis

Tags

CCSS.HSF.BF.B.3

Identify the asymptote of the function  $-3\left(3\right)^x+4$  

• y = -3

• y = 1

• y = 4

Tags

CCSS.HSF-IF.C.7E

• $-3\left(3\right)^x+2$

• $-3\left(\frac{1}{3}\right)^x+2$

• $-3\left(3\right)^x-2$

• $-3\left(\frac{1}{3}\right)^x-2$

Tags

CCSS.HSF-IF.C.7E

• $-3\left(4\right)^x+2$

• $-3\left(\frac{1}{4}\right)^x+2$

• $3\left(4\right)^x+2$

• $3\left(\frac{1}{4}\right)^x+2$

Tags

CCSS.HSF.LE.A.2

Write the equation for the asymptote of the graph shown below.

Mathematical Equivalence

ON