The following is the graph of f(x) = 3sin(x) - 4

Question

trigonometrics

 

Answer 1

f(x) = 3sin(x)-4

 

To graph this, you need to understand what the basic graph of sin(x) looks like.  f(x) is similar to sin(x), with the following two transformations.

1. First, the factor 3 stretches the graph vertically so that the maximum and minimum values of f(x) will be 3 instead of one (like it is for sin x)
2. Second, the -4 shifts the entire graph down four units on the y-axis.