Question

find the vertices and foci of the hyperbola: Y^2/5-X^2=1

Answer 1

The foci of this hyperbola are found using the Pythagorean Theorem
\[a^2+b^2=c^2\]
Whereas the vertices of the parabola are given as
\[(0,\pm a)\]
The equation of this hyperbola follows the form
\[\frac{y^2}{a^2}-\frac{x^2}{b^2}=1 \]
Can you solve the problem now?

Answer 2

not really i need further explaining

Answer 3

What didn't you understand?

Answer 4

what # to put where

Answer 5

OK, so the equation is
\[\frac{y^2}{5}-x^2=1\]
equivalent to

\[\frac{y^2}{5}-\frac{x^2}{1}=1\]
so
\[a^2=5, b^2=1\]