Math

Use a system of equations to find the quadratic function f(x) = ax^2 + bx + c
that satisfies the equations. Solve the system using matrices.
f(−2) = 4, f(1) = −2, f(2) = −12

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  1. f(x) = ax^2 + bx + c
    form the equations, using the 3 given points.
    4a - 2b + c = 4
    a + b + c = -2
    4a + 2b + c = -12

    These are too easy to complicate things with matrices
    subtract the first two:
    3a -3b = 6
    a - b = 2

    subtract the last two
    3a + b = -10
    add these two :
    4a = -8
    a = -2

    sub back into 3a+b=-10 to get b
    then sub back into a + b + c = -2 to get your c

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    Reiny

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