Transformations of Exponential Functions

• Shifted up 5

• Shifted down 5

• Reflection over the x-axis

• Reflection over the y-axis

What kind of shift  is represented?

• up 1 unit

• left 1 unit

• right 1 unit 

• down 1 unit

What transformations occur in the following function?

• right 3, up 2

• left 3, up 2

• left 3, down 2

• right 3, down 2

What is the transformation?

• Vertical Translation up 2

• Vertical Translation down 2

• Horizontal Translation left 2

• Horizontal Translation right 2

What is the vertical shift of this graph?

• left 6 units

• right 6 units

• up 6 units

• down 6 units

What is the parent function?

• none of these

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

• reflects, up 3 units

• reflects, down 3 units

• reflects, left 3 units

• reflects, right 3 units

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

Given the parent exponential function y=4^x,

how would the graph change if the function were:

y=2(4)^x-3+1?

• Vertically stretched by a factor of 2, right 3, and up 1

• Vertically compressed by a factor of 1/2, left 3 and down 1

• Vertically compressed by a factor of 1/2, right 3, and down 1

• Vertically stretched by a factor of 2, left 3, and up 1