Page 7 - Ranger SPM 2022 - Additional Mathematics

CHAPTER 2 QUADRATIC FUNCTIONS Form 4
Additional Mathematics SPM Chapter 2 Quadratic Functions

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Learning Area: Algebra

Form 4 CONCEPT MAP

Quadratic Functions

Quadratic Inequality Quadratic Equation Quadratic Functions
ax + bx + c = 0
2

Method of solving • General form
2
• Graph sketching f(x) = ax + bx + c
• Table • Vertex form
• Number line f(x) = a(x – h) + k
2
• Intercept form
f(x) = a(x – p)(x – q)
Forming equation
x – (α + β)x + αβ = 0
2
The effect of changes
in a, b and c towards
the shape and position
of graph.
f(x) = ax + bx + c
2
Type of roots Method of solving
• b – 4ac  0 • Completing the
2
Two different real square The effect of changes
roots • Formula in a, h and k towards
the shape and position
b
– 4
2
• b – 4ac = 0 x = –b ±ac of graph.
2
Two equal real roots 2a f(x) = a(x – h) + k
2
• b – 4ac  0
2
No real roots
1414

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