# How do you find the coordinates of the vertices, foci, and the equation of the asymptotes for the hyperbola #x^2/9-y^2/25=1#?

##### 1 Answer

Dec 26, 2017

vertices

Foci

Aymptotes

#### Explanation:

Given -

#x^2/9-y^2/25=1#

This hyperbola equation is in the form

#x^2/a^2-y^2/b^2=1#

If this is the case then

Its vertices are

Its foci are

Its asymptotes are

Then we have to find the values of

#a=sqrt(9)=3#

#b=sqrt25=5#

#c^2=a^2+b^2#

#c=+-sqrt (9+25)=+-sqrt34#

Then

vertices

Foci

Aymptotes