Enter the slope and the coefficient of “a” into the Calculator. The calculator will evaluate the Axis of Symmetry Equation. 

Axis of Symmetry Equation Formula

x = -b/2a


  • x is the Axis of Symmetry Equation ()
  • b is the slope
  • a is the coefficient of a

To calculate Axis of Symmetry Equation, divide the negative value of the slope by 2 times the coefficient of a.

How to Calculate Axis of Symmetry Equation?

The following steps outline how to calculate the Axis of Symmetry Equation.

  1. First, determine the slope. 
  2. Next, determine the coefficient of a. 
  3. Next, gather the formula from above = x = -b/2a.
  4. Finally, calculate the Axis of Symmetry Equation.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

slope = 3

coefficient of a = 6


What is the Axis of Symmetry in mathematics?

The Axis of Symmetry in mathematics refers to a line that divides a figure or a graph into two mirror images. In the context of a quadratic function, it is the vertical line that passes through the vertex of the parabola and divides it symmetrically.

How does the Axis of Symmetry relate to quadratic functions?

In quadratic functions, the Axis of Symmetry is a crucial concept as it helps in identifying the vertex of the parabola formed by the quadratic equation. The formula x = -b/2a is derived from the standard form of a quadratic equation and represents the x-coordinate of the vertex, thus indicating the Axis of Symmetry of the parabola.

Can the Axis of Symmetry be horizontal?

In the context of quadratic functions, the Axis of Symmetry is always vertical because the parabola opens either upwards or downwards. However, in other mathematical contexts or figures, an axis of symmetry can be horizontal, vertical, or even diagonal, depending on the shape and its orientation.

Why is the Axis of Symmetry important in graphing quadratic functions?

The Axis of Symmetry is important in graphing quadratic functions because it provides a reference point for plotting the vertex of the parabola. Knowing the vertex and the Axis of Symmetry allows for easier plotting of the parabola, as it ensures that the graph will be symmetric. Additionally, it aids in determining the direction in which the parabola opens (upwards or downwards) based on the coefficient of (a).