Question

Determine the vertex of the function f(x)=3x2-6x+13

Answer 1

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