Alg462 Review Exponential Growth/Decay

In the function:

Describe the transformation that "h" has on the parent function.

In the function:

Describe the transformation that "a" has on the parent function.

Write a new exponential function that represents the indicated transformation of the parent

function .

Use g(x) to write the transformed function after “a reflection over the x-axis followed by a translation 2 units down”

Write a new exponential function that represents the indicated transformation of the parent

function .

Use g(x) to write the transformed function after “vertical stretch by a factor of 4, a translation 1 unit right.”

The parent function in red has been transformed to the blue function g(x). Write the equation for g(x).

Graph the function:

Include at least 5 points in your table and plot the "nice" points.

Using your graph from #6, what is the horizontal asymptote?

Graph the function:

Include at least 5 points in your table and plot the "nice" points.

Using your graph from #8, what is the range of the function?

Graph the function:

Include at least 5 points in your table and plot the "nice" points.

Describe AND correct the error in the graph below.