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Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function.
Standard form of equation for a parabola which opens downwards: y=-A(x-h)^2+k, (h,k) being the (x,y) coordinates of the vertex
complete the square
line or axis of symmetry: x=1/2
maximum value: 9/2
see graph below as a visual check on the above: