Question

How to fine the equation of the curve ?

Answer 1

Simply integrate to find the function:

`f(x) = int -2x dx = -x^2 + C`

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

`0 = -3^2 + C`

`0 = -9 + C`

`C = 9`

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

Hopefully this helps!