Question 549577
{{{ f(x) = -x^2 - 2x - 6 }}}
The coefficient of the squared term
is negative, so the vertex is at a
maximum
{{{ x[max] = -b/(2a) }}}
{{{ x[max] = -( -2)/(2*(-1)) ) }}}
{{{ x[max] = -1 }}}
{{{ f(-1) = -(-1)^2 - 2*(-1) - 6 }}}
{{{ f(-1) = -1 + 2 - 6 }}}
{{{ f(-1) = -5 }}}
The vertex is at (-1,-5)
Here's the plot:
{{{ graph( 400, 400, -6, 6, -16, 2, -x^2 - 2x - 6 ) }}}