# How do you graph y=3sin(1/2)x?

Apr 1, 2018

As below.

#### Explanation:

$y = 3 \sin \left(\frac{x}{2}\right)$

Standard form of the equation is $y = A \sin \left(B x - C\right) + D$

$A m p l i t u \mathrm{de} = | A | = 3$

$\text{Period } = \frac{2 \pi}{|} B | = \frac{2 \pi}{\frac{1}{2}} = 4 p \pi$

$\text{Phase Shift } = \frac{C}{B} = 0$

$\text{Vertical Shift } = D = 0$

graph{3 sin(x/2) [-10, 10, -5, 5]}
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