Question 1:
Students in a maths class take a final test and then are tested with equivalent exams monthly after that. The average test results, T , after, n , months, was found to be given by ( T = 74.5-22log?(n+1) ).
What was the initial class average?
What was the average after 3 months?
After how many months would be expected that the average mark would be less than 50?
Question 2:
The following sequence of transformations is applied to the curve y=2x2
Translate 1 unit parallel to the positive x-axis
Translate -1 unit parallel to the positive y-axis
Dilate parallel to the x-axis by a factor of ½
State the equation of the resulting curve. You are not required to simplify your answer.
Question 3:
Identify the sequence of transformations required to map:
y = ln?(x+3) to y = ln?((x-4)/2)
y = e-2x to 2ex+1