Graph Exponential Transformations with Tables

What transformations occur to f(x)=5^x?

• translate right 3, up 2

• translate left 3, up 2

• translate left 3, down 2

• translate right 3, down 2

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

Write the equation that represents the table below:

• y=1/2(4)^x

• y=2(4)^x

• y=4(2)^x

• y=4(1/2)^x

Which of the equations below represent this table?

• y=3⋅(36)^x

• y=36⋅(3)^x

• y=3⋅(⅓)^x

• y=36⋅(⅓)^x

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

Which equation matches this graph?

• y = -2^x - 3

• y = -2^x + 3

• y = - (1/2)^x - 3

• y = - (1/2)^x + 3

Explain why the following tables represent either an exponential, linear or quadratic function.

• The table represents a quadratic function because it has a 2nd difference that is constant.
  

• The table represents a linear function because it has a 1st difference that is constant.
  

• The table represents an exponential growth function because it has a ratio that is constant.
  

• The table represents an exponential decay function with a constant of 1/3.

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

• Exponential Growth

• Exponential Decay

• Linear

• None

Given the following exponential table, select the correct response from each sentence. The initial value is​ (a)   . The table is an example of a growth or decay?​ (b)   .The equation for the table is ​ ​ (c)   .

• 6

• 0.5

• decay

• growth

Which equation is represented by the table?

• y = 40(2)^x

• y = 40(1/2)^x

• y = 40 - 2x

• y = 40 - 1/2x