Complete a piecewise function that describes the graph.

Step-by-step explanation:

Left part of the graph is the graph of the parabola passing through the points (-2,3), (-3,2) and (-4,-1). If the equation of the parabola is then

Subtract first two equations  and last two equations:

Suybtract these two equations:

So

Substitute into the first equation:

The equation of the parabola is

The right part of the graph is translated 1 unit to the right and 1 unit down graph of the function , so it has the equation

Hence, the piece-wise function is

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