Quadratic Equation Graph

Explore the properties of a quadratic equation graph

A quadratic equation can be written in the form

y = ax² + bx + c where a, b and c are constants and a ≠ 0

The following activity allows you to explore the properties of a quadratic equation graph.
Move the a, b and c slider bars to explore how it affects shape of the graph. Look at

• the effects of changing a.
• the effects of changing b.
• the effects of changing c.
• the effects of a positive value of a.
• the effects of a negative value of a.
• what happens when a = 0?

Graph of Quadratic Function - Drag the sliders to set the values of a (coefficient of x²), b (coefficient of x), or c (constant term) and watch the shape and position of the graph.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.