The data in the table shows a sinusoidal relationship between the number of seconds an object has been moving and its velocity v(x), measured in centimeters per second.
What is true of the cosine function that models the data in the table?
The period of the cosine function is ______ . The equation of the midline of the cosine function is y =_____. The amplitude of the cosine function is ____
Plot all of those points...... then bring the graph back here and we can help you further......
Ok...thanx for that ! This looks like a cosine function doesn't it?
BUT it is taller than a normal cosine function....usually the height of the wave goes from -1 to 1 which means amplitude is 1
THIS wave goes from 8 to 72 so amplitude is 32 ( 1/2 of the height is amplitude)
32 cos x so far
Now, note that the wave is shifted UP from it's normal midline of zero..... the midline of this wave is 40
32 cos x + 40
The period is the amount of x axis this wave takes to make a complete cycle..... Looks to be 100 seconds
32 cos (x pi/50) + 40
Check this out......I superimposed the above wave on YOUR graph !