Transformations of Exponential Functions

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

• (0, 0)

• (0, 4)

• (0, 5)

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

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

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

What transformation maps  $f\left(x\right)=3^x$  to  $g\left(x\right)=3^x+2$  

• Translates left 2 units

• Translates right 2 units

• Translates up 2 units 

• Translates down 2 units

Tags

CCSS.HSF.BF.B.3

What transformation maps  $f\left(x\right)=5^x$  to  $g\left(x\right)=5^x-7$  

• Translates left 7 units

• Translates right 7 units

• Translates up 7 units 

• Translates down 7 units

Tags

CCSS.HSF.BF.B.3

Compare g(x) = 3^x- 4 with the basic function f(x) = 3^x

• 4 units up

• 4 units to the left

• 4 units to the right

• 4 units down

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

• Shifted up 5

• Shifted down 5

• Reflection over the x-axis

• Reflection over the y-axis

Tags

CCSS.HSF.BF.B.3

GIven a parent function like  $f\left(x\right)=5^x$  , how does the h in  $g\left(x\right)=5^{x-h}$  affect the parent function?

• Translates the parent function horizontally (left or right)

• Translates the parent function vertically (up or down)

Tags

CCSS.HSF.BF.B.3