f(x)=−3x2+6x−2
Find the derivative of f(x) and set it to zero. Solve for x then.
Afterwards if you want your y you simply plug the x you found to the original function f(x)
The arrow points
to the vertex. We can graph it and estimate where the vertex is but the
best way to do this is by finding the derivative of the function....why
does this work? Well the thing is that when you take the derivative we
know that whatever value for x that makes the function zero will tell us
where the curve changes.
After we find the x all we can do is plug in the x we found to the
original function