Question 43949
{{{y^2 = 5x^2 + 25}}}
{{{y^2 - 5x^2 = 25}}}
{{{(y^2)/25 - (x^2)/5 = 1}}}
Center: (0,0)
Transverse Axis: vertical
a = 5
b = {{{sqrt(5)}}}
{{{c^2 = a^2 + b^2}}}
{{{c = sqrt(25 + 5)}}}
{{{c = sqrt(30)}}}
Vertex: (0,5) and (0,-5)
Foci: (0,{{{sqrt(30)}}}) and (0,-{{{sqrt(30)}}})
{{{ graph( 600, 600, -10, 10, -10, 10, sqrt(5x^2 + 25), -sqrt(5x^2 + 25) ) }}}