# Archive for the ‘Mathematics’ Category

## New applet: What does b do in a quadratic function?

y = ax2 + bx + c is a parabola. Changing the variables a and c are fairly simple, but what does b actually change, and by how much?

## New applet: Domain and range investigation

This interactive applet allows you to explore the concepts of domain and range for several different mathematical functions.

## What’s the correct graph of sec(arccos(x))?

Here we solve another graph mystery - what is the correct domain for y = sec(arccos(x))? And why do different software packages show similar, but different graphs?

## SquareCirclez is a “Top 100” math blog!

I was humbled this week to receive notice that SquareCirclez (the IntMath Blog) has been included in a list of the "Top 100 Math Blogs".

## The real story behind the Tesla Map to Multiplication chart

The fascinating Map to Multiplication may not be all it seems, notwithstanding its cleverness.

## Intersection of 3 planes at a point: 3D interactive graph

This 3D planes applet allows you to explore the concept of geometrically solving 3 equations in 3 unknowns.

## Conic sections interactive applet

This interactive applet allows you to explore the concept of slicing a cone by a plane at various angles and positions, resulting in conic sections.

## New 3D interactive graph

I recently added a 3D interactive graph which you can use to explore the x-, y- and z-axis system.

## Roller Door Problem and Polymath Software

Here's a numerical solution to an earlier problem we discussed involving a roller door.

## How to find the equation of a quintic polynomial from its graph

A quintic curve is a polynomial of degree 5. Given such a curve, how do you work backwards to find the original function expression?

## Full archive

See the blog sitemap for all previous articles.