Answer:
(0,-5) and (0,5).
Explanation:
We have been given that an equation of hyperbola
.
First of all we will convert our given equation into the standard form of hyperbola.
Let us divide both sides of our equation by 100.


Since we know that the positive term in the equation of a hyperbola determines whether the hyperbola opens in the x-direction or in the y-direction. Our hyperbola has a positive
term, so it opens in the y-direction (up and down).
The equation of a vertical hyperbola is :
, where -a and a are vertices of our hyperbola.


Upon comparing our equation with vertical hyperbola equation we can see that vertices of our hyperbola will be (0.-5) and (0,5).