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liljobe8973
25.01.2021 •
Mathematics
Write a quadratic equation for a parabola with roots at (-2, 0) & (4,0) and a y-intercept at ( 0, -16) Write your answer in factored form
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Ответ:
9514 1404 393
y = 2(x +2)(x -4)
Step-by-step explanation:
The y-intercept will be a constant times the product of the roots. Here, the product of the roots is (-2)(4) = -8, so the constant of interest is -16/-8 = 2. That constant is the coefficient of the leading term of the quadratic, so is a multiplier of the factored form.
y = 2(x +2)(x -4)
__
For root p, (x-p) is a factor in the factored form.
Ответ:
(4p * 4p * 4p * 4p) * (4p * 4p * 4p * 4p)
Step-by-step explanation:
exponent is the number being multiplied by itself a number of times
2^4 is 2*2*2*2
3^1 is 3