The first line is y=mx+b which corresponds to y=-2x+2. The 1/2 circle equation is x^2+y^2=2^2. That corresponds to y^2=4-x^2 which simplifies to y=the square root of 4-x^2. Finally the parabola equation is y=(x-2)^2. All the equations together to make the graph give you y={ -2x+2 if x is less than or equal to 0; the square root of 4-x^2 if 0 is less than x and x is less than 2; (x-2)^2 if x is greater than or equal to 2.
So that's it and thats how I found the function.
So that's it and thats how I found the function.