How do i create a plot for an implicit function in selected quadrants only?

I have to plot Y^2 – x^4=0 in the 3rd and 1st quadrant only, as a trace.
+ Need to create an M-File
Struggling with plotting the function as a symbolic so i can use "assume" and specify which co-ordinates i need to plot in a "if" type statement.
Thinking i need
if x<0 && y<0 plot(f)
etc
Any help would be appreciated.

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