Question

how do you find Period and Amplitude on a graph

Answer 1

http://www.regentsprep.org/regents/math/algtrig/ATT7/amppic1.gif

Answer 2

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
\(\bf -4sin(\color{red}{3}x) \textit{ period will be } \implies\cfrac{\textit{regular period}}{\color{red}{3}} \implies \cfrac{2\pi}{3}\)

Answer 3

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.

Answer 4

thank you

Answer 5

yw

Answer 6

This video is extremely helpful, got a 100 because of it ^_^

http://www.youtube.com/watch?v=L2R7U_7lLq8