Given hyperbola \ \

General equation of a hyperbola

  We have foci and vertices are on the y-axis, which means that we needs the formula for a up and down hyperbola.

This means that the center (h, k) must be a the origin, or (0, 0). So, let\\'s label that...

h = 0 \ \ k = 0

 We know that  "a" is the distance from your vertex and "c" is the distance from your foci

a = 2 and c = 7

We have a formula that

Now fill that

h = 0

k = 0

Therefore the required equation of hyperbola is