Exponential Transformations

What is the transformation?

• Vertical Translation up 1
• Vertical Translation down 1
• Horizontal Translation left 1
• Horizontal Translation right 1

What is the transformation?

• Vertical Translation up 2
• Vertical Translation down 2
• Horizontal Translation left 2
• Horizontal Translation right 2

• Shifted up 5

• Shifted down 5

• Reflection over the x-axis

• Reflection over the y-axis

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

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

• Horizontal shift

• Vertical Shift

• Reflection over the x-axis

• Reflection over the y-axis

What is the asymptote of y = 2^x - 3

• y = 0

• y = -3

• x = 0

• x = -3

What is the horizontal asymptote of the exponential function?

• y = 0

• y = -1

• x = 0

• x = -1

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

What transformations have happened to y = 2^x if the new equation is

y = 2^(x+3) -6

• It stayed the same

• up 3, left 6

• right 3, down 6

• left 3, down 6