Determining Values from a Graph
Here is an image of the problem: http://i.imgur.com/Q6wMA.png
http://i.imgur.com/Q6wMA.png
"The solid curve below shows the trigonometric function f(x). It has the form Asin(Bx-C)+D, with C greater or equal to 0. Also shown as a dotted curve is the function sin(x).
Determine the values of A, B, C, and D."
Here is what I have done...
For finding A: (Max-Min)/2 --> (3.2 - -6.7)/2 --> 4.95
For finding D: (Max+Min)/2 --> (3.2 + -6.7)/2 --> -1.75
For finding B: Equation for Period is T = (2pi)/B ... From the graph, a period seems to be 2.1 ... 2.1 = (2pi)/B ... B = 2.992
For finding C: Equation for Phase Shift is Phase Shift = C/B ... From the graph, the phase shift if you go down to -1.75 seems to be .6 from the Y Axis... So... .6 = C/B --> .6 = C/2.992 --> C = 1.7952
Please help.