Question

A parabola contains the points (5,0) and (-4,0) . What is the equation of its axis of symmetry?

Answer 1

notice, (5,0) and (-4,0), the y-coordinate is 0, namely those are x-intercepts, the vertex is halfway between them, namely the vertex is at 0.5 over the x-axis.

therefore the equation of the axis of symmetry will be the x = 0.5.