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