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Find the vertex, the line of symmetry, the maximum or minimum of the quadratic function, and graph the function:
standard form for parabola: y=(x-h)^2+k, (h,k) being the (x,y) coordinates of the vertex.
for given equation:
completing the square
This is a parabola that opens downward, with vertex at (1/2,17/2).
Axis of symmetry: x=1/2, maximum=17/2
See graph below as a visual check on answers: