How to Graph a Sine Graph
A Sine graph has the parent equation of y=a sin bx.
"a" dictates the amplitude. The distance between a peak (or trough) and the mid-line. Also known as half the distance between "peak" and "trough" on the graph. A negative a reflects the graph "upside down".
"b" is the number you will use to find the period and frequency of your graph. To find period set up the equation p=2π/b with "p" being your period. When making the graph the Period is how long it takes the function to complete 1 full cycle. So from up to down and back up again.
Once you find the period you need to find the intervals to put your "key points" on your graph. Take the number you found for your period and divide it by 4. That is how much you will go over by until you get to the period number.
Key points are the points that show the minimum, maximum, and center points of your graph. when making a sine graph your first point is at (0,0) then you go up once, down to the center, then all the way down to the minimum, and then back to the center line. At this point you should be to the period number of your graph and have 1 complete cycle elapsed.
Below is an example of a sine graph with an amplitude of 1 and a period of 2π. This is the parent graph of a sine function.
No comments:
Post a Comment