How do you graph y= -sin(2x)-1/2?

Jun 9, 2015

Analyze the function and draw incremental graphs of the function.

Explanation:

1. Trace a sin(x) on the paper.
2. Double the frequency of the sin, so that the function y=sin(2x) pass through the points $\left(0 , 0\right) , \left(\frac{\pi}{4} , 1\right) , \left(\pi , 0\right) , \left(\frac{3}{4} \pi , - 1\right) \ldots$
3. Reflect the positive with the negative part (as if the x-axis were a mirror)
4. Translate down of 1/2. As if the function fell down of half step.

graph{-sin(2x)-1/2 [-10, 10, -5, 5]}