Exam 9: New Functions From Old

Select the equation whose graph is the graph of shifted 6 units up.

Evaluate the following expression for x = -3.

Find a formula for where

Find where and

Find where and

Transform the function into a new function by compressing by a factor of 0.3, reflecting across the x-axis, and then shifting the result down 8 units. Find the equation of .

Evaluate where and

Evaluate . where and Give a decimal answer. Round your answer to 2 decimal places, if necessary.

Transform the function into a new function by compressing by a factor of 0.9 and reflecting across the x-axis, and then shifting the result up 4 units. Find the equation of .

For the function identify any horizontal asymptotes. Enter the equation of the asymptote (use reduced fractions).

Transform the function into a new function by reflecting horizontally (across the y-axis), stretching by a factor of 7 , and then shifting the result up 9 units. Find the equation of .

Evaluate . where and Give a decimal answer. Round your answer to 2 decimal places, if necessary.

A new virus has been discovered and is spreading through the population of a small island nation. It is estimated that each person who is infected will spread the virus to 6 people each day. How many people would be infected after 9 days if the virus started with just one person on day 1.

Identify any vertical asymptotes of the function . Enter your answer as , , where .

Identify the function

Choose the function below whose end behavior matches the description. and

If graph A is the graph of , which of the following will yield graph B?

Determine which statement is true for .

Transform the function into a new function by reflecting horizontally (across the y-axis) and then shifting the result up 3 units. Find the equation of .

Use the graph of below to determine which statement is true.