" (4) Derive the equation of parabola "y^(2)=4ax" in standard form."

Derive the equation of a parabola in the standard form y^(2)=4ax with diagram.

Equation of tangent to parabola y^(2)=4ax

The directrix of the parabola y^2=4ax is :

The focus of the parabola y^2= 4ax is :

The focus of the parabola y^(2) = - 4ax is :

The subnormal of the parabola y^(2)=4ax is equal to

Reduce the following equation of parabola to a standard form, hence find the vertex focus and the equations of the directrix and equation of latus rectum : 4x-y^(2)+2y-13=0 .

Derive the standard form of the parabola.