# Using Graphmatica by w6WLescw

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```									Using Graphmatica
Graphmatica is a program for drawing all types of graphs. You
place a rule in the address bar and a graph is drawn. The rule
must be written using x and y variables.

Before using Graphmatica you need to know how to change a
few things.

1. Go to Labels  legends and
make the increments for both x
and y =1

2. Then go to View Colours and make the background white

3. Then go to ViewGrid range
and make the range as shown

4. To clear graphs click Clear

Beginning Investigations
Investigation 1: Linear rules y = mx + c form. How does the value of m effect the graph?
On the one grid get Graphmatica to draw the following graphs.

A. y = x      B. y = 2x      C. y = 3x      D. y = 0.5x    E. y = 2/3x    F. y = -x       G. y = -2x

Complete: In the general linear form y = mx + c , m represents R…. of C……             for a particular
rule. On the graph the value of m changes the G………..        or S……..

Investigation 2: Linear rules y = mx + c from How does the value of c effect the graph
On one graph grid get Graphmatica to draw the following graphs

A. y = x      B. y = x + 1   C. y = x + 2   D. y = x +3 .5 E. y = x - 2   F. y = x - 5

Complete: In the general form y = mx + c The value of c determines the V…………I……….
whose coordinates are ( .. , .. )

Investigation 3: Linear rules Special types
On one grid get Graphmatica to draw the following graphs

A. y = 1             B. y = 5               C. y = -4      D. x = 3               E. x = -2

Complete. All equations of the form y = c produce H…………….Line graphs. All equations of the
form x = b will produce V………..Line graphs

Source: henchel.graeme.e@edumail.vic.gov.au                                               6/06/2008
Advanced Investigations

Set the grid range as shown

Investigation 4: Gradients, Intercepts and Restricted domains
On one grid enter the following rules with the extra stuff in the curly braces. Observe the effect
of adding the information in the curly braces.

A. y = x + 3 {-5, 2}   B. y = 4 {0, 6}      C. y = -5/4x + 5 {0, 4}

Task 1: Determine the rules that will produce the
following graphs

Hint: To clear the grid lines go to
View Colours and make the
gridlines white.

One of your rules will be

y = -7/3x + 7 {0, 3}

Use the grid range below

Source: henchel.graeme.e@edumail.vic.gov.au                                                6/06/2008
Investigation 5: Families of rules

Put in the following rule: y =a*x {a: 0, 5, 1} and see what happens.

Put in the rule y = 2x + a {a: 0, 6, 1} and observe what happens

Task 2: Try to determine the rules and construct the following families of graphs

Investigation 6: Graphs of inequalities

Put the following rules into graphmatica and see
what happens A. y < 2x + 3 B. y > x + 4

Task 3: Determine the rules and construct the
following diagram.

Hint: Two of the rules are written as inequalities
and one is specified as a family of lines

Really Advanced Investigations:

Put in the following Rules
y > x^2 and y < 0.5x^2

Put in the following rules
(x-3)^2+(y-3)^2<4 and (x+2)^2+(y-2)^2<1

Put in the following rule
y < sin(x) and y > sin(2x) + 2

Challenge:
Create a smiley face using graphmatica

Source: henchel.graeme.e@edumail.vic.gov.au                                         6/06/2008

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