Question 534671
The x-intercepts occur where {{{ h(x) = 0 }}}
{{{ 0 = -3*( x + 2 )^2 + 24 }}}
{{{ 3*( x + 2 )^2 = 24 }}}
{{{ ( x + 2 )^2 = 8 }}}
{{{ x + 2 = sqrt(8) }}}
{{{ x = -2 +-sqrt(8) }}}
The x-intercepts are at
{{{ y = 0 }}}, 
{{{ x = -2 + 2*sqrt(2) }}}
{{{ x = -2 - 2*sqrt(2) }}}