Equations of Tangent and Normal to the Parabola
Here we list the equations of tangent and normal for different forms of a parabola.

The euation of tangent to the parabola at is

Th eequation of normal to the parabola at is

If then the equation of a normal line is

The line touches the parabola
if

The equation of tangent to the parabola at is

The equation of normal to the parabola at is