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Equation of parabola

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Explain why it is not necessary to plot points to graph when using y = a(x - h)^2+ k.

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Solution Summary

A parabola is a conic section of eccentricty one. It is an open curve, meaning that it does not enclose an area. The equation of a parabola can yield significant clues about the shape and location of the parabola instead of plotting the parabola. This problem demonstrates this idea by means of a simple case.

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y = a(x - h)^2+ k
implies that y - k = a(x - h)^2,
or Y = aX^2,
which is an equation of the parabola whose ...

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