Question 88789
Asymptotes: y = 2.5x and y = -2.5x
{{{y^2/a^2 - x^2/b^2 = 1}}}
~ Vertical Hyperbola
~ 2a units vertical ~> 10 units
~ 2b units horizontal ~> 4 units
~ Centre: (0,0)
Points for fundamental rectangle: (2,5), (-2,5), (2,-5), (-2,-5)
~ Asymptotes:
m = (5 - 0)/(2 - 0) = 2.5 and m = (-5 - 0)/(2 - 0) = -2.5
y = 2.5(x - 0) + 0 and y = -2.5(x - 0) + 0
y = 2.5x and y = -2.5
{{{graph(300,500,-10,10,-25,25,5*sqrt(x^2/4 + 1),-5*sqrt(x^2/4 + 1),2.5x,-2.5x)}}}