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Sketch the Parabola : Find the Vertex, Foci and Directrix

Sketch parabola first finding the vertex, foci and directrix for this equation y+3=1/8(x-5)squared meaning the (x-5) part of equation is squared.

Solution Preview

Equation of parabola,
(y+3) = (1/8)*(x-5)^2
(x-5)^2 = 8*(y+3) ..(1)
can be written by transforming the axes to (X,Y),
X^2 = ...

Solution Summary

A parabola is sketched by finding vertex, foci and directrix. These are shown on the graph, too.