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find equation when given passing points

Find an equation of the form y=ax^2+bx+c whose graph passes through the points (-1,-4), (-3,-14) and (4,-14).

Quote:

Originally Posted by jordo6889

Find an equation of the form y=ax^2+bx+c whose graph passes through the points (-1,-4), (-3,-14) and (4,-14).

$y=ax^2 + bx + c$

Substituting point #1:

$-4 = a(-1)^2 + b(-1) + c$

Substituting point #2

$-14 = a(-3)^2 + b(-3) + c$

Substituting point #3

$-14 = a(4)^2 + b(4) + c$

If I did everything correctly, you now have three independent equations, and three unknowns. Solve the set of simultaneous equations for a, b, and c.

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