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vertex form
f(x)= a(x-h)² +k
point slope form
y-y1 = m(x- x1)
completing the square
x² + bx = (x + b/2 )² - (b/2)²
equation of a circle
(x-h)² + (y-k)² = r² radius = (h,k)
discriminate
b² - 4ac
D>0, 2 real
D=0, 1 real
D<0, 2 complex