for example, i want to find the coeffiecients of a function f(x) = ax^2 + bx + c for these given conditions:(adsbygoogle = window.adsbygoogle || []).push({});

f(-1) = 3

f(1) = 3

i tried plugging and chugging

for the first condition:

3 = a - b + c

3 = a + b + c

now i tried subtracting the system to get

0 = 2b

so its solved that b = 0

so now we got a step further towards the goal, and we know we can right the function as

f(x) = ax^2 + c

so now we try plugging and chugging again, but then we get

3 = a + c

3 = a + c

since they are the same equation, i dont know how we can solve for a and c.

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# How do you model functions to fit given conditions?

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