Question 1026276
the high value of g(x) = 5.
the low value of g(x) = -1.
the amplitude is therefore equal to 6/2 = 3.
since f(x) = cos(x), and g(x) appears to have the same shape and the same period, with the exception that it's range is 3 * as much and it's midpoint is 2 units higher, then the equation of g(x) is probably 3 * cos(x) + 2.


that would give it an amplitude of 3 and it's midpoint would be at y = 2.
the midpoint is at y = 2 because 5 - 3 = 2 and -1 + 3 = 2.


in other words, the midpoint is halfway between the high value and the low value of the function.


the graph of both equations is shown below:


<img src = "http://theo.x10hosting.com/2016/032301.jpg" alt="$$$" </>


the que4stion was what is the amplitude of g(x).


the answer is that the amplitude is 3.