Unlocking Parabola Symmetry: Axis of Symmetry Calculator

Enter your quadratic equation in the form ax2 + bx + c and discover its axis of symmetry. Visualize the parabola and understand its symmetry in a fun, interactive way!

Enter Quadratic Equation

Input your equation in the form ax2 + bx + c. For example, enter '2x^2 - 3x + 1' or '-x^2 + 5'.

Axis of Symmetry Equation:

Parabola Visualization

Understanding Axis of Symmetry

The axis of symmetry is a vertical line that passes through the vertex of a parabola, dividing the parabola into two symmetrical halves. For a quadratic equation in the standard form ax2 + bx + c, the axis of symmetry is given by the formula:

$$x = rac{-b}{2a}$$

This calculator helps you find this axis for any quadratic equation you input. By visualizing the parabola, you can better understand how the axis of symmetry reflects the symmetrical nature of quadratic functions. Use this tool to check your homework, explore quadratic graphs, or simply learn more about parabolas!

Example

For the equation y = x2 - 4x + 3, a = 1, b = -4, and c = 3. The axis of symmetry is x = -(-4) / (2*1) = 2. The visualization above will show this parabola and its axis of symmetry.

Learn more about axis of symmetry and parabolas on resources like Math is Fun and Khan Academy.