Answer
$$\frac{y^2}{4^2} - \frac{x^2}{3^2}=1$$
Work Step by Step
The center of the graph is at $(0,0)$ and the graph is oriented vertically.
$$\frac{y^2}{a^2} - \frac{x^2}{b^2}=1$$
Thus, $a = 4$ as that is the y-intercept.
Also, by the theorem
$a^2+b^2=c^2$
$b = 3$
$$\frac{y^2}{4^2} - \frac{x^2}{3^2}=1$$
