# Quadratic, Cubic, Reciprocal and Exponential Graphs

## What is the resource?

This PDF is a visual guide to different advanced graph shapes. It focuses on their unique features and is tailored to older secondary learners.

## Why are these graphs important?

Graphs model how things change in the real world:

- Quadratics: Projectile paths, parabolic shapes in architecture & design.
- Cubics: Roller Coasters, bending beams – some engineering is modelled by cubics.
- Reciprocals: Sound & light (as things move away, intensity follows these curves).
- Exponentials: Rapid growth/decay (populations, finance) often follows this pattern.

## Why is this resource helpful?

It aids with visual recognition and understanding, offering:

- Clear shapes: Shows distinctive features of each graph type side-by-side.
- Key points labelled: Intercepts, turning points – the defining information is marked.
- Real-world links: Connect the graphs beyond equations to practical scenarios.
- Support theory: Complements classroom lessons on advanced graphing topics.
- Printable PDF: Great reference sheet for revision or during exam preparation.

This resource helps students 'read' complex graphs. This underpins data analysis in science, finance, and other fields.

Also, have a look at our wide range of worksheets that are specifically curated to help your students practice their skills related to quadratic formulas. These teaching resources and worksheets are in PDF format and can be downloaded easily.