The quadratic inequality represented by the graph is:
y ≤ x^2 + 4
The quadratic inequality represented by the graph with the points (0,4) (-2,0) (2,0) is:
y ≤ ax^2 + bx + c
where a is the coefficient of x^2, b is the coefficient of x, and c is the constant term.
Using the given points, we can create a system of equations to find the values of a, b, and c:
4 = c (when x = 0)
0 = 4a - 2b + c (when x = -2)
0 = 4a + 2b + c (when x = 2)
Solving the system of equations, we get:
c = 4
a = 1
b = 0
So, the quadratic inequality represented by the graph is:
y ≤ x^2 + 4