The graph looks this way due to the piecing together of three different functions. I had to find the equation of each of the lines before I graphed them to find the equation of the graph. y=-2x+2 is the equation for the line X < 0 or equal to zero also. If 0 < x < 2, then the equation for the quarter circle would be y= the square root of 4-x^2. The equation for the final part of the graph is y= (x-2)^2 if x > or equal to 2.
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