Question

g(x)=-(x+4)^2+7 . i need x intercepts

Answer 1

set g(x) = to 0 and solve for x.
\[-(x+4)^2 + 7 = 0\]

You could also solve graphically by plugging in the equation in your calculator and finding where the graph crosses the x-axis.

You could also solve using the quadratic formula or by completing the square.

Answer 2

\[(x+4)^2=7\\
x+4=\pm\sqrt7\\
x=-4\pm\sqrt7\]