# 1.6 - 1.6 Transformation of Functions Library Functions...

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1.6 Transformation of Functions Library Functions:

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Transformations in the Vertical Direction. 1. Vertical shifts f(x) + c shifts the graph of f up by „c‟ units (effect on the coordinates is to add c to each of the y-coordinates of the original points) f(x) – c shifts the graph of f down by „c‟ units (effect on the coordinates is to subtract c from each of the y-coordinates of the original points) 2 . Vertical Stretches and Shrinking (Compressions) If c > 1, c*f(x) stretches the graph of f vertically by a factor of “c” (effect on the coordinates is to multiply each of the y-coordinates of the original points by the number “c”) If 0< c < 1, c*f(x) compresses the graph of f vertically by a factor of “c” (effect on the coordinates is to multiply each of the y-coordinates of the original points by the number “c”)             Domain: - ,0 0, Range: - ,0 0, Decreasing on - ,0 0, Odd function and 