# How to find the axis of symmetry?

#### Understand the Problem

The question is asking how to identify the axis of symmetry for a given function or a geometric figure. The axis of symmetry is a line that divides the figure into two mirrored halves, and for a quadratic function, it can often be found using the formula x = -b / (2a) where the function is in the form ax^2 + bx + c.

$x = -\frac{b}{2a}$

The axis of symmetry is found using the formula $x = -\frac{b}{2a}$.

#### Steps to Solve

1. Identify the coefficients a and b

Locate the coefficients a and b in the quadratic equation $ax^2 + bx + c$.

1. Use the axis of symmetry formula

The formula for the axis of symmetry of a parabola given by the quadratic function $ax^2 + bx + c$ is $x = -\frac{b}{2a}$. $$x = -\frac{b}{2a}$$

1. Plug in the values of a and b

Substitute the values of a and b from the quadratic equation into the formula.

1. Simplify the expression

Perform the division and simplification to find the x-value, which represents the axis of symmetry.

The axis of symmetry is found using the formula $x = -\frac{b}{2a}$.