Question 1187958
<br>
Vertices: (15, 1), (-1, 1); Endpoints of Conjugate Axis: (7, 7), (7, -5)<br>
This is a hyperbola with branches opening right and left; the equation is of the form<br>
{{{(x-h)^2/a^2-(y-k)^2/b^2=1}}}<br>
(h,k) is the center: halfway between the two vertices, or the midpoint of the conjugate axis<br>
a is the distance from the center to each vertex<br>
b is the distance from the center to each end of the conjugate axis<br>
With the given information, only simple calculations are needed to find h, k, a, and b and thus find the equation.<br>
I leave it to you to do that.<br>