Quadratic Equations & Graphs

QUADRATICS P1

SUPER IMPORTANT FOR FUNCTIONS P1 11Marks


1 STANDARD FORM Y ax bx
SHIPE


y intercept




2 VERTEXFORM COMPLETED SQUARE FORM
6 4
5,4
X b o
TURNINGPOINT X b YC


3 ROOT FORM
Y
EE
x b 0 X C O

intercepts
X b X C

, STANDARD COMPLETED SQUARE
FORM FORM


Q Express 222 16k 44 in a x b C
222 16k form
44

2 x2 8 4 422

21 4 16722
215 41562
2 x 4 12
a x b 7C

Q Express 222 16k 25 in
form a x b 7C
HALF
2
2 x 8K 4 4
225

45 35
25 32 25
4
2
21k
2 2 4 7
a x b 7C

, ADVANCED
2
Q Express 4 242 48 in 2n a tb
form marks
state values and b
STEP1 CONVERT TO
of a
COMPLETED SQUARE FORM

4 x 6 135 1372 12 412 37 12
221 35 12
4 x 37 9 12 Nowtake power common

21 3 12
HEAT 2 67 12
461 372 12 2n a tb




STANDARD FORM ROOT FORM
tbatc a d b n c
y ax y
FACTORIZATION
2
7 63 6K 16
2
y
7104 9 22 82 220 16
4 y
7 65 135 x a 8 2 a 8
4 y 2 8
Y 7a 2 3761 3 12 2
a b a c y
y y
a d b N C