CPM Homework Help : PC3 Problem 2-156

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2-156.

Graph at least two complete cycles of each of the following functions.

Hint:

Sketch a general curve first (with shifting), then scale the axes to match the amplitude and/or period.

$y=5\sin(3x)$
Hint (a):
The period is $\frac{2\pi}{3}$ .

$y=\cos(\pi x)$
Hint (b):
The period is $\frac{2\pi}{\pi}$ .

$y=\sin\left(\frac{\pi x}{5}\right)$
Hint (c):
The period is $10$ .

$y=\cos\left(\frac{\pi x}{5}\right)+3$
Hint (d):
Start by sketching a cosine graph that has been shifted up $3$ units.

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