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

1 Answer
Jun 9, 2015


Analyze the function and draw incremental graphs of the function.


  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 #(0,0), (pi/4,1), (pi,0), (3/4pi,-1) ...#
  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]}