anonymous
  • anonymous
how do you find Period and Amplitude on a graph
Precalculus
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
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jdoe0001
  • jdoe0001
http://www.regentsprep.org/regents/math/algtrig/ATT7/amppic1.gif
jdoe0001
  • jdoe0001
as far as the period, that depends on the parent function's "regular period", for example sine and cosine have a "regular period" of \(\bf 2\pi\) so for a function of say \(\bf -4sin(\color{red}{3}x) \textit{ period will be } \implies\cfrac{\textit{regular period}}{\color{red}{3}} \implies \cfrac{2\pi}{3}\)
anonymous
  • anonymous
The period of a graph or a function is essentially how long it will take the function to repeat itself. For example, the graph of f(x) = sin(x) will repeat after every integer multiple of 2*pi, so the period is 2*pi. Now with amplitude, there's essentially two different ways to define this, and I will assume that you are capable of figuring out which definition you need to use. There is peak-to-peak amplitude, which is the maximum value within a single period minus the minimum value in a single period. For example, the graph of f(x) = sin(x) varies between 1 and -1 each period, so 1 - (-1) = 2 is the peak-to-peak amplitude of sin(x). Alternatively, you might define the amplitude as the difference between the maximum value within a single period minus some "average" value that your function oscillates around. The graph of f(x) = sin(x) oscillates around the value f(x) = 0. So the amplitude defined in this way would be 1-0 = 1. Look at the graph of a periodic function so that you understand what I'm talking about.

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anonymous
  • anonymous
thank you
jdoe0001
  • jdoe0001
yw
anonymous
  • anonymous
This video is extremely helpful, got a 100 because of it ^_^ http://www.youtube.com/watch?v=L2R7U_7lLq8

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