Which quadratic inequality does the graph below represent?

a) y≤2x²-8x+3
b) y≥2x²=8x+3
c) y≤2x²-8x-3
d) y≥2x²-8x+3

 A

The y-intercept is 3, not -3, so answer C is eliminated

Choose a point that is clearly in the shaded area or one that is clearly in the unshaded region

I choose the point (0, 0) and substituted these values in the equation and since 0 < 3, A is the correct answer