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

Mar 29, 2018

graph{1+sin(1/2x) [-10, 10, -5, 5]}

Explanation:

$S \in \left(x\right)$ is the original
$\sin \left(x\right) + 1$ moves it up one so every y value is moved up 1

$\sin \left(\frac{1}{2} x\right)$ effects the period and it doubles the period of the sine curve from being $2 \pi$ to $4 \pi$

As the period$= \frac{2 \pi}{B}$

With B being $A \sin \left(B \left(x - C\right)\right) + D$ or in this case $\frac{1}{2}$