3 years ago

Find a quadratic function that includes the set of values below. (0,9). (2,15) (3,12)

Mathematics

1 answer:

nlexa [21]3 years ago

3 0

Answer:

$f(x) = -2x^2 + 7x + 9$

Step-by-step explanation:

$f(x) = ax^2 + bx + c\\f(0) = 9 => c = 9;\\f(2) = 15 = 4a + 2b + 9 2a + b = 3\\f(3) = 9a + 3b + 9 = 12 3a + b = 1\\Subtract the second equation from the first:\\-a = 2 => a = -2; b = 7; c = 9\\f(x) = -2x^2 + 7x + 9$

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