Find the largest value of c such that -2 is in the range of f(x) = x^2 + 8x + c.
The largest value of c is -14.
This is a concave up parabola.
The axis of symmetry is -b/2a = -8/2 = -4
when x=-4
f(-4)= 16-32+c = -16+c
-16+c <= -2
c <= 14