Exponential Functions- Graphing and Transforming

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!

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Using y=3^x as the parent function, what will y=3^{-x look like?}

• Reflection on the x axis?
• Reflection on the line y=x
• Reflection on the y axis
• Reflection on y=0

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

What transformations have occurred from  $f\left(x\right)=2^x$   to  $g\left(x\right)=\left(2\right)^{-x}+5$  

• Reflection across the y-axis, horizontal shift right 5

• Reflection across the y-axis, vertical shift up 5

• Reflection across the asymptote, horizontal shift right 5 

• Reflection across the asymptote, vertical shift up 5 

Tags

CCSS.HSF.BF.B.3

What is the y-intercept of the function?

• 2
• 3
• 1
• -2

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSS.ID.C.7

This is the horizontal line which the values of the function cannot fall below :

• Asymptote

• Growth Factor

• Axis of symmetry

• Curve

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which of the following functions is represented by this graph?

• f(x)=2(1.2)^x
• f(x)=2(0.75)^x
• f(x)=6(0.75)^x
• f(x)= −2(0.75)^x

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Describe the transformation of y = f(x) for the new function
 y = f(x) - 5

• The graph of y = f(x) was shifted to the right 5 units. 
• The graph of y = f(x) was shifted to the left 5 units. 
• The graph of y = f(x) was shifted up 5 units. 
• The graph of y = f(x) was shifted down 5 units.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

What type of function is shown?

• exponential
• logarithm
• quadratic
• square root

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1