quadratics Flashcards
1
Q
sketching graphs of quadratics in completed square form
A
y = a (x - p)^2 + q
vertex at (p,q)
if a>0 min
if a<0 max
x value makes brackets equal zero
2
Q
the discriminant Δ
A
b^2 - 4ac
effects how many roots the equation has
3
Q
b^2 - 4ac = 0
A
repeated real roots
- one solution
4
Q
b^2 - 4ac > 0
A
has 2 distinct real roots
( 2 solutions)
5
Q
b^2 - 4ac < 0
A
no real roots
6
Q
inequalities — set notation
A
{ x : a < x < b }
OR
{ x : x < a } U { x : x > b }
7
Q
inequalities — interval notation
A
x (a , b]
( = not included
[ = is included
( -(infinity) , a ]
if less than or equal to a
8
Q
A U B
A
ALL
UNION
9
Q
A N B
A
JUST THE BIT TOGETHER
