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.

y = x^2 - 2x - 15

Step-by-step explanation:

Since the x-intercepts are (-3,0) and (5,0), the roots of the quadratic are -3 and 5. This means that the equation of the parabola is

y = (x + 3)(x - 5), which expands to  y = x^2 - 2x - 15

x=6 and x=3

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