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Recall what you know about the translation of functions.

  1. What is the equation of the parabola that is identical in shape to , but has its vertex at ?

    Recall that vertex form for a parabola is .

  2. Find an equation of a cosine curve that has a maximum at .

    The function has a maximum point at .
    How far does the original function need to be translated horizontally? Vertically?