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Here is the problem y equals -x squared + 1/2x + 2

The Quadratic Formula is x equals -b + or - square root sign then b squared -4ac over 2a

the vertex is along the x = -b/(2a) axis
therefore the vertex itself is simply (-b/(2a), f(-b/(2a)))

\[y = (-x)^2 + \frac{1}{2x} + 2\]
what is your equation?

The equation is y equals -x squared + 1/2x + 2

are you trough with the question or still some confusion?

I get how to get the first answer but not the second answer @amistre64 and @harsimran_hs4