Graphing Exponential Functions with Shifts

Graphing Exponential Functions with Shifts

Multiple Choice

Which function is exponential?

• f(x)
• h(x)
• g(x)

Multiple Choice

What is the equation that best represents the graph?

• y=2^y

• y=2^x

• y=2^-x

• y=x²

Multiple Choice

Is the pictured graph exponential growth, exponential decay, or linear or none?

• Exponential Growth

• Exponential Decay

• Linear

• None

Multiple Choice

Given the function  $y=3\left(2\right)^x$  , fill in the blank in the table  when  $x=5$  .

• 96

• 7776

• 30

•  $-30$  

Multiple Choice

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

• Asymptote

• Growth Factor

• Axis of symmetry

• Curve

Multiple Choice

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

• (.27)^x
• .27
• 13
• 3.51

Multiple Choice

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>0

Multiple Choice

What is the horizontal asymptote for the graph of

f(x)=2(3)^x ?

• y=2

• y=0

• y=3

• x=-4

Multiple Choice

What is the transformation?

• Vertical Translation up 2 and Horizontal translation right 1

• Vertical Translation down 2 and Horizontal Translation left 1

• Horizontal Translation left 2 and Vertical Translation up 1

• Horizontal Translation right 2 and Vertical Translation down 1

Multiple Choice

What transformations occur in the following function?

• right 3, up 2
• left 3, up 2
• left 3, down 2
• right 3, down 2

Multiple Choice

What kind of shift  is represented?

• up 1 unit
• left 1 unit
• right 1 unit 
• down 1 unit

Multiple Choice

What kind of shift happens with this function?

• 4 points up
• 4 points to the left
• 4 points to the right
• 4 points down

Multiple Choice

What is the horizontal asymptote for the graph of 
f(x)=-2(3)^x+4-8 ?

• y=8
• y=-8
• x=-8
• x=-4

Multiple Choice

What is the base in
f(x)=2(6)^x+3-8 ?

• 2
• 6
• -3
• -8

Multiple Choice

What is the horizontal asymptote and what transformations have taken place?
y = 2^x+2 + 1

• y = 2
  right 2, up 1
• y = 1
  left 2, up 1
• y = 1
  right 2, up 1
• y = 2
  right 1, up 2

Multiple Choice

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

Multiple Choice

What is the horizontal asymptote for the graph of 
f(x)=13(0.5)^x-6 ?

• y=0.5
• y=13
• y=6
• y=0

Multiple Choice

What is the horizontal asymptote for the graph of 
f(x)=-2(3)^x+4-8 ?

• y=8
• y=-8
• x=-8
• x=-4

Multiple Choice

Classify
 f(x)=4/5(.8)^x-9

• Exponential Growth
• Exponential Decay

Multiple Choice

Which functions transforms f(x)=e^x so that is shifts left 5 units and up 3 units?

• f(x) = e^(x+5) - 3

• f(x) = e^(x-3) - 5

• f(x) = e^(x+5) + 3

• f(x) = e^(x-5) - 3

Multiple Choice

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

Multiple Choice

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

Multiple Choice

Which graph corresponds to the exponential function  $y=4^x$  ?