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Quadratic Function : Hyperbola

Quadratic Function
Hyperbola where c2 = a2 + b2, a, b were not zero
y2/a2 - x2/b2 = 1
foci: (0, c) and (0, -c)
asymptotes: y = (a/b)x and y = (-a/b)x
x2/a2 - y2/b2 = 1
foci: (-c, 0) and (c, 0)
asymptotes: y = (b/a)x and y = -(b/a)x
Hyperbola equation y^2/9 - x^2/36 = 1
y2/9 - x2/36 = 1
foci: (0, 6.7) and (0, -6.7)
asymptotes: y=0.5x, y=-0.5x
Hyperbola equation y^2/36 - x^2/9 = 1
y2/36 - x2/9 = 1
foci: (0, 6.7) and (0, -6.7)
asymptotes: y=2x, y= -2x
Hyperbola equation x^2/36 + y^2/9 = 1
x2/36 + y2/9 = 1
foci: (-6.7, 0) and (6.7, 0)
asymptotes y=x/2, y= -x/2
Hyperbola equation x^2/9 - y^2/36 = 1
x2/9 - y2^2/36 = 1
foci: (-6.7, 0) and (6.7, 0)
asymptotes y=2x, y= -2x