What are the amplitude, period, and midline of f(x)=-4 cos (2x-n)+3?

To find the amplitude and period you need to be familiar with the following equation. Also you need to know that the standard cos has a period of and the midline is a line that runs between the max and min of the y-values of the function.

Equations:
f(x) = A cos(Bx +C) + D
f(x) = -4 cos(2x -n) + 3

A = amplitude = |-4| = 4
B = 2
C = phase shift = n = 0 
D = vertical shift = midline = 3

Amplitude = 4

Find the period:


Find the midline:
We know that the amplitude is 4  so we have a range from -4 to 4. The standard y = cos(x) has its midline at 0 so y = 0. This is also true for y = -4 cos(x). In your equation though, you have a vertical shift of +3 so this changes our midline. With an amplitude of 4, which gives us a range from -4 to 4(our y-values), the shift moves this up by 3 so that means we will have new y-values and a range of -1 to 7. Now we need to find the midline(the middle of our y-values) of our new range. We can find this by using the following formula


Midline:
y = 3

Note, in the following equations that D = 3 = midline

y = A (Bx+C) + D
y = -4 (2x + n) + 3

Also, the picture that is attached is what your equation looks like when graphed.

A. Paired-sample t-test.   ---   Wilcoxon Signed-Ranks T testB. Independent-sample t-test.   ---  Mann-Whitney U testC. One-way ANOVA, independent samples.   ---   Kruskal-Wallis H testD. One-way ANOVA, repeated measures.  ---   Friedman test

Step-by-step explanation:

The nonparametric statistics is a branch of statistics, that seeks out the population distribution that is either being distributed freely or specifically.  Wilcoxon Signed-Ranks T-test is a hypothesis test used to compare the two or pre related columns that can be matched and maybe a repeated measure on a single sample.The Mann-Whitney U test is a null hypothesis and states the probability of a random sample of X and Y from the population is greater than the X and that Y is greater than X.Kruskal-Wallis H test is a test of one variance analysis and tests that sample originates from the same distribution.The  Friedman test is used to find treatment across multiple tested attempts. It involves the ranking of the rows and then considering the values of the column.