Transformations of Exponential Functions

Given the original exponential function defined by 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

What transformations occur in the following function?

• right 3, up 2

• left 3, up 2

• left 3, down 2

• right 3, down 2

• Horizontal shift

• Vertical Translation

• Reflection over the x-axis

• Reflection over the y-axis

What equation would yield a transformation right 3 units if your initial function was y=2^x

• y=2^x-3

• y=2^x+3

• y=2^x+3

• y=2^x-3

Which of the following shows the correct transformation of the graph 5^x. Select all that apply.

• Reflection about the x-axis

• Reflection about the y-axis

• Vertical Shift upward by 10

• Vertical shift to downward by 10

• Horizontal shift to the right by 10

Which of the following represents the correct transformation of 2^x

• Horizontal Shift to the left by 7

• Vertical Shift upwards by 7

• Horizontal Shift right by 7

• Vertical shift downwards by 7

Which of the following shows the correct transformation of the graph 2^x. Select all that apply.

• Reflection about the x-axis

• Reflection about the y-axis

• Vertical Shift upward by 4

• Vertical shift downward by 4

• Horizontal shift to the right by 9

If this exponential graph had the following transformation(s), where would the new y-intercept be located?

Which of the following represents the correct transformation of 4^x

• Reflection about the x-axis

• Reflection about the y-axis

• Horizontal Shift

• Vertical shift