need solutions and and step by step numerical work shown in the question below

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Explain what each of the following represents, and how equations (a) and (b) are equivalent.

(a) y = a(x – h)2 + k, a ≠ 0

(b) (x – h)2 = 4p(y – k), p ≠ 0

(c) (y – k)2 = 4p(x – h), p ≠ 0

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