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bulgar [2K]
2 years ago
4

(-1,1/3) (0,2) (1,12) (2,72) write an equation to represent these coordinates

Mathematics
1 answer:
Alchen [17]2 years ago
6 0

The cubic equation y = (127 / 18) · x³ + (23 / 6) · x² - (8 / 9) · x + 2 contain the points (- 1, 1 / 3), (0, 2), (1, 12) and (2, 72).

<h3>What is the equation that contains a given set of four points?</h3>

In accordance to the fundamental theorem of algebra, a n-th grade polynomial can be derived from the knowledge of n + 1 points on Cartesian plane. Besides, the points (- 1, - 1 / 3), (0, 2), (1, 12) and (2, 72), so we can obtain a cubic equation by solving the following system of linear equations:

- a + b - c + d = - 1 / 3

d = 2

a + b + c + d = 12

8 · a + 4 · b + 2 · c + d = 72

The solution to the system of linear equations is (a, b, c, d) = (127 / 18, 23 / 6, - 8 / 9, 2). The cubic equation y = (127 / 18) · x³ + (23 / 6) · x² - (8 / 9) · x + 2 contain the points (- 1, 1 / 3), (0, 2), (1, 12) and (2, 72).

To learn more on cubic equations: brainly.com/question/13730904

#SPJ1

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