Contents

Lesson 4 – Quadratic Graphs 4

Free Maths Tutorial 4

Example 1 4

Example 1 Graph 5

Example 2 5

Example 3 7

Example 3 Graph 8

Example 4 9

Example 4 Graph 9

Method to sketch Quadratic graphs. 10

Example 5 11

Example 6 11

Intersecting Graphs 13

Example 7 13

Example 7 Graph 14

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Free Maths Tutorial

These revision notes have been brought to you by an experienced Maths teacher - Mr Tom Nolan. These notes can be read in conjunction with the Free maths tutorial linked below. You will find this tutorial under iRevise.com, junior cert, maths, videos. These notes are suitable for Junior Certificate Students and covers quadratic graphs. There is a work sheet and solutions that are an add on to the notes and can also be purchased from iRevise.com.

Example 1

Graph F(x) = 2x+3 From 3≤ x ≤ 3

Y = 2x+3

 X = 0 1 2 3 2x 0 2 4 6 +3 3 3 3 3 3 3 3 F(x) or Y= 1 3 5 7 9

Set Couples (,) (,1) () (0,3) (1,5) (2,7) (3,9)

Example 2

Graph F(x) = x-4 from 0 ≤ x 4 ≤ 6

 x= 0 1 2 3 4 5 6 X 0 1 2 3 4 5 6 -4 F(x) 0 1 2

Couples (0-4) (1,-3) (2,-2) (3,-1) (4,0) (5,1) (6,2)

Example 2 Graph

Draw the same graph using X and Y intercepts.

Cuts the X-axis Y=0 Cuts Y-axis x=

Y = X Y=X

0=X Y=0

4 = X =

(4,0) ...