Alg462 Quiz Exponential Growth/Decay

Last updated over 4 years ago
14 questions
2

In the function:


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

2

In the function:


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

2

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”

2

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.”

2

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

6

Graph the function: (2 points)


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

2

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

6

Graph the function: (2 points)


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

2

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

6

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)

2

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

2

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


2

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


2

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