Question 636556
{{{f(x) = -x^2 - 2x - 6}}}

The function has a {{{maximum}}} since the first term {{{-x^2}}} has a negative coefficient. 


{{{ graph(600, 600, -10, 10, -10, 10,-x^2 - 2x - 6) }}}


{{{x=- b/2a}}}

{{{x=-(-2)/2(-1)}}}

{{{x=2/-2)}}}

{{{x=-1)}}}

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

{{{f(x) = -(-1)^2 - 2(-1) - 6}}}

{{{f(x) = -1 +2 - 6}}}

{{{f(x) = -7 +2}}}

{{{f(x) =- 5}}}

the coordinates of the maximum:({{{-1}}},{{{-5}}})