(Solved): (1 point) Find an equation for the hyperbola whose graph has vertices \( (0, \pm 4) \) and goes th ...

(1 point) Find an equation for the hyperbola whose graph has vertices \( (0, \pm 4) \) and goes through the point \( (3,-5) \). The equation has the form (input a or b) (a) \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \), or (b) \( \frac{y^{2}}{a^{2}}-\frac{x^{2}}{b^{2}}=1 \); the positive numbers \( a= \) and \( b= \)