1. The problem is to create a wave function suitable for graphing on Desmos. 2. A common wave function is the sine function, which oscillates smoothly and periodically. 3. The general form of a sine wave is $$y = A \sin(Bx + C) + D$$ where: - $A$ is the amplitude (height of the wave peaks), - $B$ affects the period (how quickly the wave repeats), - $C$ is the phase shift (horizontal shift), - $D$ is the vertical shift. 4. For a simple wave, we can use $$y = \sin(x)$$ which has amplitude 1, period $2\pi$, no phase shift, and no vertical shift. 5. This function will produce a smooth wave oscillating between -1 and 1. 6. You can adjust $A$, $B$, $C$, and $D$ to change the wave's shape and position as needed.