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