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12 Matg2 Am5 Non Linear Modelling2 Essay

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AM5 – Non-Linear
Modelling

Checklist
1) Quadratic Functions (Parabolas)
2) Cubic Functions
3) Exponential Functions
4) Hyperbolic Functions
5) Direct Variation
6) Indirect Variation

1) Quadratic Functions
 A quadratic function is an equation that contains x2 as the

highest power.
 Examples are:

y = x2
 y = x2 + 1

y = x2 + 3x - 1
 y = -2x2 + 4x
 y = x2 – 9

Example 1

Draw the graph of y = x2 + 1

NOTE: The special features of
the parabola include:
 The vertex
 The concavity

Example 2

The area (A) of a rectangular garden of length x metres is given by A = 6x − x2.
a) Complete the following table of values:

b) Draw the graph of A = 6x − x2 using the table of ordered pairs. c) What is the maximum area of the garden?
d) What is the maximum area of the garden?

Example 2 - Answers
a) Complete the following table of values:

Homework

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Keywords

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