write the equation represented by the graph below.\nanswer

Explanation:

Step1: Identify curve type and key points

Key points: $x=-1, y=\pi$; $x=0, y=\frac{\pi}{2}$; $x=1, y=0$. Curve is decreasing, domain $[-1,1]$, range $[0,\pi]$.

Step2: Match to inverse trigonometric function

This matches the shape of $y=\cos^{-1}(x)$ (arccosine function), which has domain $[-1,1]$, range $[0,\pi]$, decreases from $\pi$ to $0$ as $x$ goes from $-1$ to $1$, and passes through $(0, \frac{\pi}{2})$.

Answer:

$y=\cos^{-1}(x)$ or $y=\arccos(x)$