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12-41.

Given the graph of at right, write an equation in the form for each transformation. 

When dealing with translations, remember that the number outside the parentheses affects the graph vertically, and the number inside the parentheses affects the graph horizontally.

  1.  Piecewise function, 4 sections, as follows: horizontal ray, pointing left, starting at the point (negative 3, comma negative 1), segments from (negative 3, comma negative 1), to the point (0, comma negative 3), from the point (0, comma negative 3) to the point (2, comma negative 1), & horizontal ray, pointing right, starting at the point (2, comma negative 1).

  2. Piecewise function, 4 sections, as follows: horizontal ray, pointing left, starting at the point (negative 1, comma 2), segments from (negative 1, comma 2), to the point, (2, comma 0), from the point (2, comma 0), to the point (4, comma 0), & horizontal ray, pointing right, starting at the point (4, comma 2).

Piecewise function, 4 sections, as follows: horizontal ray, pointing left, starting at the point (negative 3, comma 2), segments from (negative 3, comma 2), to the origin, from the origin to the point (2, comma 2), & horizontal ray, pointing right, starting at the point (2, comma 2).