Quadratic Functions Worksheet - Chapter 2 Page 11

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02Chapter02_014_024.qxd
3/9/04
9:31 am
Page 24
2
CHAPTER
Summary of key points
1
The general form of a quadratic equation is
2
y
x
x
a
b
c where a, b, c are constants and a
0.
2
Quadratic equations can be solved by:
● Factorisation.
● Completing the square:
b
b
2
2
x
2
x
x
b
2
2
● Using the formula
2
b
(
b
4ac)
x
2
a
3
A quadratic equation has two solutions, which may be equal.
4
To sketch a quadratic graph:
● Decide on the shape:
a
0
a
0
● Work out the
x
y
-axis and
-axis crossing points.
● Check the general shape by considering the discriminant b
2
4ac.
24

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