Archive for February, 2008

Line Of Symmetry

Friday, February 29th, 2008

In graph plotting, there is a property whereby the graph has symmetrical reflection over a special line. This is the "Line of Symmetry". What I meant is explained below. We will take an example to illustrate this special line. Example:   y = x2 + 2 This is a quadratic equation that can be easily ...

How To Draw A Straight Line Graph

Thursday, February 28th, 2008

Straight line graph is the most basic graph any math student must learn how to draw. The general equation for a straight line is given by y = mx + c. "m" is the gradient and "c" is the value of the intercept the line makes with the vertical axis. Let's start with ...

What is Gradient of a Curve?

Tuesday, February 26th, 2008

In line or curve plotting of a graph,  we normally come across the term "Gradient". This is an important parameter that governs the profile of the plotted line or curve. What is this "gradient"? Gradient is defined as the ratio of the change in the vertical unit to the change in the horizontal unit (at a ...

Graph In Logarithmic Scale

Saturday, February 23rd, 2008

In graph plotting, we can have a choice to plot the raw data (from the math equation) directly using the conventional y- axis (vertical line) and x -axis (horizontal line) , or modifying the horizontal axis parameter to match the given math expression. Which technique to use depends on our purpose. If the ...

Graphical Solution of Equations

Friday, February 22nd, 2008

There are many ways to solve a mathematical equation. However, there are some equations that would be harder to solve through the conventional mathematical approach using, for example, factorisation, quadratic formula or completing-the-square method. To solve equation like      1 - x + 6 sin x = 0    would be almost impossible with ...

Straight Line Graph Conversion

Wednesday, February 20th, 2008

The mathematical expression for a straight line is  y = mx + c, where m  is the gradient and c is the intercept on the vertical axis (y). When a straight line is plotted, we get a simple straight line cutting across the y axis at the point indicated by the constant "c" ...