# Thread: Finding Equation for Axis of Symmetry?

1. ## Finding Equation for Axis of Symmetry?

Find the equation of the axis of symmetry of the parabola gives point (-5,3) and (3,3) equally distant from the vertex on either side of it

2. If I've understood the dreadful wording, then, for a parabola of the form $y=ax^2+bx+c$, the the axis of symmetry will be where $x=\frac{-b}{2a}$
You could substitute your x and y values into the equations and solve simultaneously.

If you don't want to do that, then just find the x ordinate of the point which is halfway between $(-3,3)$ and $(5,3)$, as the axis of symmetry will bisect the parabola directly, and so you will find an equation of the form $x=[number]$