Question

How do you graph two cycles of `y=-2tan(4theta)`?

Answer 1

`-` sign signifies an inverse graph of tangent graph

2 signifies the graph amplitude or the `y` values are of two times larger than a normal tangent graph

`4theta` signifies 4 repeats of the normal tangent graph in a `2pi` or 360degrees cycle

In your case, you need to plot 2 cycle of y.
Since 4 cycle in 2`pi`
1 complete cycle in `2pi/4=pi/2`

divide `pi/2` into four parts for each of the four parts of graph which starts at 0.

Explanation:

graph{y=-2tan (4x) [-10, 10, -5, 5]}