Question

Will medal

Answer 1

Write the equation of a hyperbola with vertices at (-7, 0) and (7, 0) and co-vertices (0, -4) and (0, 4).

Answer 2

The equation of this (east-west opening) hyperbola is
$$
\frac{y^2}{a^2}-\frac{x^2}{b^2}=1
$$


Now the key is the vertex and the co vertex coordinates:
Vertex has coordinate: (-a,0),(a,0)
co vertex has coordinate: (0,b),(0,-b)

From this you can see what a and be should be.

https://en.wikipedia.org/wiki/Hyperbola
http://www.clarkeconsult.com/alg2/Chapter10/A2CH10L4.pdf

Does this make sense?