Alg462 Quiz 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 7 units left”

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

function .

Use g(x) to write the transformed function after “vertical shrink by a factor of 1/4, a translation 3 unit down.”

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

Graph the function: (2 points)

Include at least 5 points in your table (4 points) and plot the "nice" points.

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

Graph the function: (2 points)

Include at least 5 points in your table (4 points) and plot the "nice" points.

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

Graph the function: (2 points)

Include at least 5 points in your table (4 points) and plot the "nice" points. (HINT: Start at x = -4)

Describe the error in the graph below as it relates to the parent function.

Give a reason in the show your work section to justify your answer. Which graph is f(x).

Give a reason in the show your work section to justify your answer. Which graph is g(x).

In the exponential function, identify the base, "b"