Test 1 Flashcards
Vertical parabola equations
(x-h)^2=4c(y-k) or y-ka(a-h)^2
Horizontal parabola equations
(y-k)^2=4c(x-h) or x-h=a(y-k)^2
Parabola
Only one variable is squared; either A=0 or C=0 but not both
Circle equation
(x-h)^2+(y-k)^2=r^2
Circle
x and y have same positive coefficient; A=C but not equal to 0
Vertical ellipse equation
x^2/a^2 + y^2/b^2 = 1
Horizontal ellipse equation
x^2/b^2 + y^2/a^2 = 1
Ellipse
x^2 and y^2 have different positive coefficients; A does not equal C, but product of AC is greater than 0
Foci of vertical ellipse
(+/- c, 0)
Foci of horizontal ellipse
(0, +/- c)
Vertical hyperbola equation
x^2/a^2 - y^2/b^2 = 1
Horizontal hyperbola equation
y^2/a^2 - x^2/b^2 = 1
Hyperbola
x^2 or y^2 has positive coefficient while other has negative coefficient
Foci of vertical hyperbola
(+/- c, 0)
Foci of horizontal hyperbola
(0, +/- c)