The graph of the equation x² + y = 0 crosses the x-axis where the value of y is equal to zero. To find these points, we need to solve for x when y is set to zero.
Setting y to zero in the equation gives us:
x² + 0 = 0
Which simplifies to:
x² = 0
Taking the square root of both sides, we find:
x = 0
Thus, the graph crosses the x-axis at the point (0, 0). This means that the only intersection point with the x-axis for this particular graph is the origin, where both x and y are zero.