Draw the graph of the boundary line:

y = 1/4x^2+x-8

Get some points and plot them:

(-10,7), (-8,0), (-6,-5), (-4,-8), (-2,-9), (0.-8), (2,-5), (4,0), (6,7), 

Since the inequality is ≥ and not > draw the boundary solid:



Since the inequality is "y ≥", we shade the region above the parabola: 



Edwin