How to interpret the following question:
Graph the curve $y^2-4x^3+4x^4 = 0$ and use the graph to determine where the extrema of f(x, y) = x occur.

Question

anonymous · Answer

anonymous · Answer

First thing
$$\Large y^2=4x^3-4x^4$$
Replacing y with -y causes no effect hence graph will be symmetric about x axis

anonymous · Answer

Then?

anonymous · Answer

Plot for 1st quadrant and same will be in 4th quadrant 
there will be no graph on negative side

anonymous · Answer

of x axis

anonymous · Answer

I don't understand how to use the graph of $y^2−4x^3+4x^4=0$ to determine the max/min. of f(x,y)=x