How do you graph y = -sin(2x)?
1 Answer
Jun 15, 2015
These are three steps (transformations) that you can apply in every order you want,and you'll obtain
Explanation:
- Start graphing the trig function you know,
y=sin(x) .
graph{sinx [-10, 10, -5, 5]}
- Doubling the argument you have a compression in the period, that means that the function double the frequency: if we had the solutions in
0,pi,2pi,3pi,... now we have solutions in0,pi/2,pi,3/2pi,2pi,...
graph{sin(2x) [-10, 10, -5, 5]}
- The minus sign in front of the function is a reflection on the x-axis, so for each point of the function
(x,y)->(x,-y) :
graph{-sin(2x) [-10, 10, -5, 5]}