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I feel kind of overwhelmed by it, and would like someone to walk me through the steps of sketching the signal.

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    $\begingroup$ This is just asking how to plot a function. I'm really not sure whether this is on-topic here; do you know how to plot a function? $\endgroup$ – Marcus Müller Dec 18 '18 at 11:50
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From your physics knowledge you get that sine waves are usually equated, in the general case, as

$$y(t) = A * \sin(\omega t)$$

where $\omega = 2 \pi f$ and the periodicity is $T=1/f$

Comparing the general equation with your particular case, you have: $$2*\pi*f = \pi / 4$$ meaning that $$f=1/8 Hz$$ or $$T=1/f=8s$$ The amplitude is $A=3$

If you want to plot it in matlab, for example, just write

t = 0:0.01:16;
x = 3*sin(pi*t/4);
plot(x,t)

As a final comment, this is really a basic question and you should carefully read your textbook if you want to progress to more advanced topics.

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    $\begingroup$ The period of your signal $y(t)$ isn't $2\pi$, but it is $1/f$. $\endgroup$ – Matt L. Dec 18 '18 at 12:23
  • $\begingroup$ I've just updated the answer. Thank you for the heads-up Matt. $\endgroup$ – Filipe Pinto Dec 21 '18 at 10:12

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