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Quadratic Function : Ellipse
Ellipse equation:
x
2
/a
2
+ y
2
/b
2
= 1
( a > b > 0 )
where c
2
= a
2
- b
2
Center(0, 0)
foci (-c, 0) and (c, 0)
Ellipse equation:
(x - h)
2
/a
2
+ (y - k)
2
/b
2
= 1
( a > b > 0 )
where c
2
= a
2
- b
2
Center(h, k)
foci (h-c, h+c) and (h+c, h-c)
Ellipse equation:
y
2
/a
2
+ x
2
/b
2
= 1
( a > b > 0 )
where c
2
= a
2
- b
2
Center(0, 0)
foci (0, -c) and (0, c)
x
2
/225 + y
2
/100 = 1
Center(0, 0)
F(-11.18, 0) and F(11.18, 0)
(x - 5)
2
/196 + y
2
/100 = 1
Center(5, 0)
F(-4.8, 0) and F(14.8, 0)
(x + 5)
2
/100 + (y + 5)
2
/64 = 1
Center(-5, -5)
F(-11, -5) and F(1, -5)
x
2
/100 + (y - 5)
2
/196 = 1
Center(0, 5)
F(0, 14.8) and F(0, -4.8)
(x + 5)
2
/100 + y
2
/64 = 1
Center(-5, 0)
F(-11, 0) and F(1, 0)