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s344n2d4d5 [400]
2 years ago
8

The x-intercepts of a parabola are (-5, 0) and (3, 0). What is the function of the parabola?

Mathematics
1 answer:
weeeeeb [17]2 years ago
3 0

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

#SPJ1

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