Answer:
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