HYPERBOLAS
- the set of all points (x, y) in a plane, thedifference of whose distances
from two distinct fixed points (called Foci) is a positive constant.
EQUATIONS AND GRAPHS OF HYPERBOLAS
C(h, k)
f(h-c, k) V(h-a, k)
V(h+a, k)
f(h+c, k)
where c2 = a2 + b2
and the equations of the
Asymptotes are:
f(h, k+c)
where c2 = a2 + b2
and the equations of the
Asymptotes are:
V(h, k+b)
C(h, k)
V(h, k-b)
f(h, k-c)
sketch the graph of
4y2 - 9x2 = 36
Sketch the graph of the hyperbola given by
9x2 - 4y2 + 8y - 40 = 0
and find the equations of its asymptotes.