Answer
The equation of the form $y = \frac{k}{(x^2 + bx + c)}$
whose graph is a reasonable match to that picture below is
$y = \frac{1}{(x^2 − 1)}$
Work Step by Step
From the graph, the denominator has roots $x = ±1$, so $x^2 − 1$ is the denominator.
To determine $k$ use the point $(0, −1)$ to get $k = 1$,
The equation is given as $y = \frac{1}{(x2 − 1)}$
