Transformation of Exponential Functions

The graph g\left(x\right)=2^{\left(x-3\right)} is shown, which statement best describes the transformation from the parent graph f\left(x\right)=2^x.

• Vertically shift up 3

• Vertically shift down 3

• Horizontally shift right 3

• Horizontally shift left 3

• Vertically shift down 3, horizontally shift left 2, and vertically compressed 1/2 units

• Vertically shift up 3, horizontally shift left 2, and vertically compressed 1/2 units

• Vertically shift down 3, horizontally shift right 2, and vertically compressed 1/2 units

• Vertically shift up 3, horizontally shift right2, and vertically compressed 1/2 units

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

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

What is "a", the initial value, for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

What transformation has taken place from the parent function to g(x)

• Vertical Stretch

• Vertical Compression

• Translation up 5 units

• Reflection across the x-axis