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year 8 maths

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7I

Non-linear graphs

447

Example 17

Plotting a non-linear relationship

Plot points to draw the graph of y = x 2 − 2 , using a table.

SOLUTION

x −3 −2 −1 0 1 2 3

y 7 2 −1 −2 −1 2 7

EXPLANATION

Find the value of y by substituting each value of

x into the rule.

7

6

5

4

3

2

1

−3 −2 −1

O

−1

1 2 3

−2

y

x

Plot the points and join with a smooth curve.

The curve is called a parabola.

Exercise 7I

UNDERSTANDING AND FLUENCY

1–4 3, 4

4(½)

1 Copy these graphs and then join the points to form smooth curves.

a

y

b

y

O

x

O

x

c

y

d

y

O

x

O

x

Cambridge Maths NSW

Stage 4 Year 8 Second edition

ISBN 978-1-108-46627-1 © Palmer et al. 2018

Cambridge University Press

Photocopying is restricted under law and this material must not be transferred to another party.

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