Recently I read an article in a magazine describing how an inverse graphing calculator on this page adds domains and ranges to implicit functions. Unfortunately the page is down and I can't see it for myself, so I tried to plot one of the formulas in wolfram alpha,
(y-x)^2 + (y^2 - 6*y + 8 + sqrt(y^4 - 12*y^3 + 52*y^2 - 96*y + 64))^2=0
but it doesn't plot it, it just shows an empty graph. It does however show the correct solution:
for 2 <= x <= 4, y=x
I also tried plotting it in geogebra and some online things that can handle implicit functions but they also just give empty graphs. Is it too complicated? Is the formula correct? And if so why doesn't it plot the equation?
Thanks in advance.