Axis of symmetry is a very interesting concept that we can encounter in our everyday lives. We can observe it in nature in various forms such as leaves, buildings, sun, moon, riverbanks, and so on.

If you would have observed, we can find an axis of symmetry infamous monuments like the Taj Mahal also. In a layman’s language, we can define an axis of symmetry as an imaginary line that helps in dividing a shape into two equal and identical parts. Axis of symmetry is a straight line that can be horizontal, vertical, or diagonal.

**Axis of Symmetry in a Parabola**

A graph of a quadratic function can be considered as a parabola. Generally, a parabola consists of one symmetrical line or one line of symmetry. This axis of symmetry divides a parabola into two equal and symmetrical parts. It can be seen in four forms. Either horizontal or vertical and facing left or right. Horizontal form signifies the movement sideways i.e. left to right or vice versa and vertical form signifies the movement from top to bottom or bottom to top.

The axis of symmetry for the horizontal slope is zero. The axis of symmetry for the vertical form is undefined. The axis of symmetry helps to determine the forms of the parabola. Such as, if the axis of symmetry is vertically, then the parabola is also expressed vertically. Likewise, when the axis of symmetry is expressed horizontally, then the parabola is also expressed horizontally.

**Axis of Symmetry Formula**

To recall, the axis of symmetry is a line that divides an object into two halves where the two halves are mirror images of each other. The line that divides an object can be of three types. They are horizontal, vertical, and inclined. The horizontal line is known as the x-axis whereas the vertical line is known as the y-axis. The axis of symmetry formula can be expressed in two forms i.e. standard form and vertex form.

The equation given for the standard form is y = ax. x + bx + c where a, b and c denote the real numbers. Numbers such as natural numbers, whole numbers, and so on are considered real numbers. The formula is: x = -b / 2a. The axis of symmetry formula given for the vertex form is x = h. To master these concepts, you must solve various types of calculations based on the formula of the axis-of-symmetry.

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