Question

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

Answer 1

Graph a sine curve with an amplitude of `1/2`.

Explanation:

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

To graph a sine function use
`y=Asin(Bx-C)+D`, where
`A` is amplitude

`(2pi)/B` is period

`C/B` is phase shift

`D` is vertical shift

For `y=1/2sinx`
amplitude=`1/2`
period= `(2pi)/1 = 2pi`
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.