prove that the locus of the middle point of portion of a normal to y^2=4ax intercepted between the curve and the axis is another parabola. find the vertex and latus rectum of the second parabola

Prove that the locus of the middle point of portion of a normal to y^=4ax intercepted between the curve and the axis is another parabola.find the vertex and latus ractum of the second parabola?
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