Find the largest value of c such that -2 is in the range of x^2 + 8x + c .
x^2 + 8x + c
This is a parabola that turns upward
The x coordinate of the vertex is -8/2 = -4
So we need to solve this
(-4)^2 + 8(-4) + c = -2
16 -32 +c = -2
-16 + c =-2
c = 14
See the graph here : https://www.desmos.com/calculator/bk8d4d0o0t