A2 - 8.1b Graphing 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 Shift

• Reflection over the x-axis

• Reflection over the y-axis

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

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

• Shifted up 5

• Shifted down 5

• Reflection over the x-axis

• Reflection over the y-axis

Tags

CCSS.HSF.BF.B.3

Using the parent function y=3^x what would the graph of y=3^x+1 look like?

• Horizontal shift left one unit!
• Horizontal shift right one unit!
• Vertical shift up one unit!
• Vertical shift down one unit!

Using the parent function y=3^x what would the graph of y=3^x+1 look like?

• Horizontal Shift to the right 1 unit
• Horizontal shift to the left one unit
• Vertical shift one unit up
• Vertical shift one unit down

What is the domain and range of the function y=2^x ?

Use the graph to help!

• Domain: −∞<x<∞

  Range: y>0

• Domain: −∞<x<∞

  Range: y>1

• Domain: −2<x<∞

  Range: y>0

• Domain: −∞<x<∞

  Range: y>1

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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

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

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