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

Sep 12, 2016

Graph a sine curve with an amplitude of $\frac{1}{2}$.

#### Explanation:

graph{y=1/2sinx [-10, 10, -5, 5]}

To graph a sine function use
$y = A \sin \left(B x - C\right) + D$, where
$A$ is amplitude

$\frac{2 \pi}{B}$ is period

$\frac{C}{B}$ is phase shift

$D$ is vertical shift

For $y = \frac{1}{2} \sin x$
amplitude=$\frac{1}{2}$
period= $\frac{2 \pi}{1} = 2 \pi$
phase shift = 0
vertical shift = 0

In other words, just graph y=sinx, but reduce the amplitude to 1/2. Amplitude is the distance from the "middle" or mean of the curve to the maximum or minimum. Note that it is NOT the distance from max to min.