How do you graph y= 6 sin xy=6sinx?

1 Answer
Tony B
Oct 22, 2015

The same shape as sin(x) but the amplitude is 6 times bigger.
sin(x) " max" = +-1 " whilst " 6sin(x) "max"=+-6sin(x) max=±1 whilst 6sin(x)max=±6

Explanation:

Tony B

If y= something then 6 times "something"6×something is also going to make y 6 times bigger.

The curve repeats every 360^03600 which is 2pi2π radians.
The measure of its repeat is called its pitch. Notice that it crosses the origin. The cos curve is the same shape and amplitude but it is shifted "transposed" to the right by 90^0900 which is pi/2π2 radians. The curve crosses the x-axis every 180^01800 or pi/2π2 radians. This is 1/2 the pitch.

Related questions
See all questions in General Sinusoidal Graphs
Impact of this question
3574 views around the world
You can reuse this answer
Creative Commons License