Final answer:
The equation of the parabola in intercept form, given it passes through points (-8, 0) and (20, 0), is written as y = a(x + 8)(x - 20), where a is a coefficient that can be determined with additional information about the parabola.
Step-by-step explanation:
To write the equation of a parabola in intercept form given that it passes through the points (-8, 0) and (20, 0), we begin by understanding that the intercept form of a quadratic equation is y = a(x - p)(x - q), where p and q are the x-intercepts of the parabola, which in this case are -8 and 20.
Since the parabola passes through the points (-8, 0) and (20, 0), we can write the equation as y = a(x + 8)(x - 20). However, we need another point to solve for or additional information about the parabola such as the vertex or focus. Without this information, we cannot find the specific value of the coefficient a, but the general form of the parabola in intercept form will be as indicated.