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