Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point.

f(x) = -x^{2} - 2x - 6

for critical point

-2x-2 =0

x = 2/-2

x = -1

now for maximum or minimum value, we take dervative of -2x-2

=-2

as second derivative is less than zero, so at x=-1 lies a maximum point at

x = -1 , y = -5

function has maximum value at (-1,-5)

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