Transformations of Exponential Functions

 $f_1\left(x\right)=3.6^x\ \ and\ \ \ \ f_2\left(x\right)=\ 4.1^x$  
Which function grows faster as x increases towards  $\infty$  

•  $f_1\left(x\right)$  

•  $f_2\left(x\right)$  

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

What is the y-intercept of $g\left(x\right)=0.9\left(2\right)^x$  ?

•  $\infty$  

• 2

• 0.9

• 1

Tags

CCSS.HSF-IF.C.7E

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

Tags

CCSS.HSF.BF.B.3

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

Tags

CCSS.HSF.BF.B.3

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

• Shifted up 5

• Shifted down 5

• Reflection over the x-axis

• Reflection over the y-axis

Tags

CCSS.HSF.BF.B.3

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

• (0, 0)

• (0, 4)

• (0, 5)

Tags

CCSS.HSF-IF.C.7E

In an exponential function, what does the 'a' represent? 

• SLOPE
• RATE OF CHANGE
• Y-INTERCEPT
• COMMON RATIO

Tags

CCSS.HSF.LE.B.5

What is "a", the initial value, for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

Tags

CCSS.HSF.LE.B.5

What is the y-intercept of the function?

• 2
• 3
• 1
• -2

Tags

CCSS.HSF-IF.C.7E

 $f\left(x\right)=3^x\ \ \ \ and\ \ \ g\left(x\right)=5\left(3\right)^x$  
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