How to sketch the hyperbolic paraboloid z=y²-x²

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z=y^2-x^2

Trying to render these sheets by hand is very difficult for me. I can conceptualize the sheet in general by observing that the trace in z=y^2-k^2 follows the trace of z=k^2-x^2 as z tends to negative infinity. The opposite is also true as z tends to infinity. This information combined with the hyperbolic traces gives me a general idea of the sheet. Any tips in how to draw this.
 
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