Page 12 - Ranger SPM 2022 - Additional Mathematics

Additional Mathematics SPM Chapter 2 Quadratic Functions

2.3 Quadratic Functions

1. Changes in
the values Effect towards the shape and position of graph
of a, b and f(x) = ax + bx + c
2
c
a  0 and The shape of the 0Reserved.
f(x)
a > 1
the value of a graph is and the Form 4
increases from 1. width of the graph a = 1
decreases. x
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a  0 and The shape of the f(x) a = 1
the value of a graph is and the
decreases from 1 width of the graph
and approaches 0. increases. 0 < a < 1
x
0
Only the
value of a a  0 and The shape of the f(x)
changes the value of a graph is and the
decreases from −1. width of the graph 0 x
decreases. a = –1

a < –1
a  0 and The shape of the f(x)
the value of a graph is and the
increases from −1 width of the graph 0 x
and approaches 0. increases.
–1< a < 0

a = –1
a  0 and b  0 The vertex of the f(x)
graph is on the left b > 0 b = 0
side of y-axis.

Only the 0 x
value of b
changes a  0 and b  0 The vertex of the f(x)
graph is on the right b = 0 b < 0
side of y-axis.

x
0

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