[math]y=ax^2 +bx +c[/math] is the standard form of a quadratic equation. Move quadratic [math]b[/math]. Quadratic [math]b[/math] has a maximum point since its [math]ax^2[/math] term in negative. Move quadratic [math]c[/math]. Quadratic [math]c[/math] has a minimum point since its [math]ax^2[/math] term in positive. The dashed line going through the maximum or minimum point is the quadratic's axis of symmetry. The axis of symmetry divided the quadratic into equal halves.