Question

Graph $f\left(x\right)={\sin }^{2}x=\frac{1-\cos \left(2x\right)}{2}$for $0\le x\le 2\pi$by hand using transformations.

Short answer

The graph of the function $f\left(x\right)={\sin }^{2}x=\frac{1-\cos \left(2x\right)}{2}$is given below,

Step-by-step solution

Step 1. Given information.

Consider the given question,

$f\left(x\right)={\sin }^{2}x=\frac{1-\cos \left(2x\right)}{2}$

Plot the function,

Step 2. Plot the function for a certain range.

Consider the given question,

$f\left(x\right)={\sin }^{2}x=\frac{1-\cos \left(2x\right)}{2}$

Plot the function for the given range $0\le x\le 2\mathrm{\pi }$,