What is the equation in standard form of a parabola that contains the following points (-2,-16) (0,4) (4-28)

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What is the equation in standard form of a parabola that contains the following points (-2,-16) (0,4) (4-28)

Linear Algebra
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using standard equation of parabola as \[y = a*x^2 +b*x+c\] you can find out corresponding values of a,b and c
I plugged in the (0,4) to get c and the used the other two point, made a two variable system equation an solved for a and b I just want the answer o make sure that I did it right
And thanks for the help

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Okay so solution is \[-3*x^2+4*x+4\]
\[-3*x^2+4*x+4\]

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