regents review

Question 1

how to find roots from a graph

Answer 1

find where it overlaps with the x axis

Question 2

how to write an equation from the roots

Answer 2

1) b2-4ac>0 (and a perfect square) = 2 IR, Rational, Unequal roots
b2-4ac>0, 2IR, (and not a perfect square) Rational, Unequal, Roots
for both of these, set b2-4ac>0

2) b2-4ac= 0, 2IR, Rational, Equal roots, (double roots) and not a perfect square = b2-4ac = 0

3) b2-4ac <0, 2 imaginary roots, (if no real roots)

Question 3

parabola directrix focus formula

Answer 3

(x-h)2 = 4p(y-k)