Question 752412
form of horizontal hyperbola:
(x-h)^2/a^2 - (y-k)^2/b^2 = 1
.
{{{5x^2-4y^2=80}}}
{{{5x^2/80 - 4y^2/80=1}}}
{{{x^2/8 - y^2/20=1}}}
{{{x^2/(2sqrt(2))^2 - y^2/(2sqrt(5))^2 = 1}}}
a={{{2sqrt(2)}}}
b={{{2sqrt(5)}}}
8 + 20 = c^2
28 = c^2
{{{2sqrt(7)}}} = c
.
vertex: 
(0,0)
.
foci:
(0,+-{{{2sqrt(7)}}})
.
asymptotes:
y = +-(b/a)x
y = +-{{{sqrt(5)/sqrt(2)}}}x
y = +-{{{sqrt(10)/2}}}x