Hyperbola is a set of all points whose difference of the distances from the two foci is fixed.
Each hyperbola has two foci (plural for focus). Both of them are inside the branches of hyperbola.
Answers:
(0,-26) is inside the lower branch
(0,-24) is not inside the lower branch
(0,25) is inside the upper branch
(0,30) is inside the upper branch
We have focus for lower branch. To decide which of two possible answers is correct we need to analyze the picture. For the lower branch distance from the maxima to the focus is 1. We need to find same for the upper branch. Point (0.25) has distance of 1 and point (0,30) has distance of 6.
Our two foci are: (0,-26) and (0,25)
