To determine the equation of the parabola with a range of y|y≥-6 and x-intercepts at -5 and 3, the equation is expressed as y = k(x+5)(x-3), where k is a positive constant. The vertex is located at the midpoint of the x-intercepts, which is at x = -1. The y-coordinate of the vertex is -6, leading to the vertex coordinates of (-1, -6). By substituting these coordinates into the equation, the value of k can be calculated. The final equation of the parabola can then be established based on these findings.