Hi



Using the vertex form of a parabola,  where(h,k) is the vertex

f(x) = -x^2 + 6x   |Completing Square to find the Vertex

y = -[(x-3)^2 - 9]

y = -(x-3)^2 + 9      |represents parabola opening downward, a<0 

vertex Pt(3,9) f(3) = 9 is a maximum point

Domain:  and Range: {y|y ≤ 9}

 

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