Linear and Quadratic Functions

Start with a graph overview

Begin with the Graphs mind map for an overview of linear and quadratic graphs. It brings together lines, gradients and the equation y = mx + c, alongside other graph types. Use it to identify the terms you want to study in more detail.

Next, open Straight Line Graphs. This mind map describes the relationship between x and y coordinates in a straight-line equation. It also shows how to check whether a pair of coordinates is on a line by substituting the x coordinate.

Explore equations and quadratic functions

The mind map on linear equations and functions moves from intercepts and slope to finding the equation of a line. It also includes intersections, parallel and perpendicular lines, and piecewise linear functions. Return to the graph overview as you work through these terms.

For quadratic work, the quadratic functions slide set includes solving an equation by factoring and completing the square among its objectives. A separate mind map covers quadratic functions in vertex and standard forms, as well as graphical solutions and factoring. Choose the format that helps you follow the steps.

Combine maps and the quiz

After studying a map, try the quiz on linear and quadratic graphs and equations. Use the questions to decide which terms or methods to look at again, then return to the relevant map or slide set. You can also use the notes Mathematics: Functions to explore a ticket-price and attendance example.

This topic is one section of Functions and Graphs in Mathematics. Use the resources here to practice the graphs and equations in the topic, then return to the unit page. Choose a map and pair it with the quiz when you are ready.