The function of the parabola will be f(x) = -2(x²+2x-15)
<h3>Equation of a parabola</h3>
The equation of a parabola are quadratic in nature.
If s graph has intercepts (a, 0) and (b, 0), the function will be equivalent to;
f(x) = (x-a)(x-b)
Since we are given the x-intercepts (-5, 0) and (3, 0), the function of the parabola will be:
f(x) = (x+5)(x-3)
Expand
f(x) = x^2 - 3x + 5x - 15
f(x) = x^2 + 2x - 15
Hence the function of the parabola will be f(x) = -2(x²+2x-15)
Learn more on function of a parabola here: brainly.com/question/4061870
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