# How do you graph y=3/2sinx over 0<=x<=360?

Aug 1, 2018

Below

#### Explanation:

$y = \frac{3}{2} \sin x$

When written in the general form, $y = a \sin \left(n x\right) + b$
where
$a$ is amplitude
$n$ is used to find the period
$b$ is the shift of the graph up/down by $b$ units

Looking at $y = \frac{3}{2} \sin x$, we can immediately tell that it has an amplitude of $\frac{3}{2}$ and its period is $2 \pi$ and there is no shift. In other words, it is the graph $y = \sin x$ but with an amplitude of $\frac{3}{2}$ and not $1$.

graph{3/2sinx [-10, 10, -5, 5]}
Above is the graph $y = \frac{3}{2} \sin x$