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Verified Answer :

Make a table, plotting the points and making the line, then shade in the area BELOW the line, since y is less than or equal to.

In your description, did you


graph the parabola opening down  

with the vertex at (1, 1)?


factor the quadratic as y  –1(x)(x – 2)?


find the roots of the parabola to be 0 and 2?


graph the parabola with a solid boundary line?


test a point that is not on the boundary?  


shade inside the parabola?