The functions f(x) = x2 – 3 and g(x) = –x2 + 2 are shown on the graph.

The graph shows f of x equals x squared minus 3, which is an upward opening parabola with a vertex at 0 comma negative 3 and a point at negative 1 comma negative 2 and a point at 1 comma negative 2. The graph also shows g of x, which is a downward opening parabola with a vertex at 0 comma 2 and a point at negative 1 comma 1 and a point at 1 comma 1.

If the equations were changed to the inequalities shown, explain how the graph would change.

y ≤ x2 – 3
y > –x2 + 2