# Axis of Symmetry Formula

Axis of symmetry is a line that divides an object into two equal halves, thereby creating a mirror like reflection of either side of the object. The word symmetry implies balance. Symmetry can be applied to various contexts and situations. Symmetry is a key concept in geometry which cuts the figure into two halves that are exact reflections of each other, as shown in figure given below.

a and b are coefficients of x^{2} and x respectively.

c is a constant term.

**Example:**

Find the axis of symmetry of the graph of y=$x^{2}$−6x+5, using the formula.

For a quadratic function in standard form, y=a$x^{2}$+bx+c, the axis of symmetry is a vertical line x = $\frac{-b}{2a}$

Here, a=1, b=−6 and c=5

Simplify.

x=6/2 = 3x

Therefore, the axis of symmetry is x=3.

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