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Circle
X² + y² = r²
Parabola
Y = x²/4p
Parabola directrix
Y = -p
Parabola focus
(0, p) or (p, 0)
Ellipse
X²/a + y²/b = 1
Ellipse string length
Length of the major axis
Ellipse focus
Draw triangle and use rules to figure stuff out and find the focus
Ellipse, length of minor axis to focus
Half of string length
Hyperbola
X²/a - y²/b = 1
Hyperbola asymptotes
Isolate y, get rid of the numbers that aren’t attached to the variables (y = + or - ____x)
Distance formula
√((x2 - x1)² + (y2 - y1)²)