The x-intercepts of the parabola y = x^2 + bx + c are (-3,0) and (5,0). Find the equation of the parabola, and submit your answer in y = ax^2 + bx + c form.
you are given the two roots of the equation x = -3 and x = 5, so the equation becomes
(x+3)(x-5) = 0 (note the sign change) Expanded
x^2 -2x-15=0 or
f(x) = x^2-2x-15 or
y = x^2 -2x-15