SOLUTION: Find the equation of the parabola ax^2 + bx + c = y which passes through the points (1,5), (2,12), and (4,44). This is what I hav so far: a(1)^2 + b(1) + c = 5 a(2)^2 + b(2) +

Question 602316: Find the equation of the parabola ax^2 + bx + c = y which passes through the points (1,5), (2,12), and (4,44).
This is what I hav so far:
a(1)^2 + b(1) + c = 5
a(2)^2 + b(2) + c = 12
a(4)^2 + b(4) + c = 44
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
good start

a + b + c = 5 (J)

4a + 2b + c = 12 (K)

16a + 4b + c = 44 (L)

subtracting J from K ___ 3a + b = 7 (M)

subtracting J from L ___ 15a + 3b = 39 ___ dividing by 3 ___ 5a + b = 13 (N)

subtracting M from N ___ 2a = 6

solve for a, then substitute back to find b and c
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