How to fine the equation of the curve ?

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1 Answer
Noah G
May 27, 2018

Simply integrate to find the function:

f(x) = int -2x dx = -x^2 + Cf(x)=∫−2xdx=−x2+C

We now can solve for CC knowing that the graph passes through (3, 0)(3,0).

0 = -3^2 + C0=−32+C

0 = -9 + C0=−9+C

C = 9C=9

Therefore the curve is y = -x^2 +9y=−x2+9.

Hopefully this helps!

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