Question

what is the equation to find the axis of symmetry?
$x = -\frac{b}{2a}$

Explanation:

Step1: Recall Quadratic Function Form

A quadratic function is in the form \( y = ax^2 + bx + c \) (where \( a
eq 0 \)). The graph of a quadratic function is a parabola, which is symmetric about a vertical line called the axis of symmetry.

Step2: Derive or Recall the Formula

For a quadratic function \( y = ax^2 + bx + c \), the axis of symmetry is a vertical line. The formula to find the equation of this axis of symmetry is derived from the vertex - form or by using the properties of the parabola. The equation of the axis of symmetry is \( x=-\frac{b}{2a} \).

Answer:

The equation to find the axis of symmetry of a quadratic function \( y = ax^{2}+bx + c\) (\(a
eq0\)) is \(x = -\frac{b}{2a}\)