We are interested in the surface $-x=2y^2+z^2.$

NEATLY sketch useful traces parallel to the xy$-$plane, xz$-$plane, and yz$-$plane. Remember a useful trace should include at least two points. Clearly label your $x-,y-,$ and $z-$axes as appropriate for each trace.

Make a sketch of the three$-$dimensional surface with all axes labeled. The surface doesn't have to be beautiful, but I should be able to tell which kind of surface it is$.$ You get points for effort here!

Identify the surface by name.

You will upload your work for this question as a PDF or image file below. Please be sure to check the file first to be sure I can read it$!$ If I can't read all your work, then I cannot give you credit for the question.

Note: Your initial score for this problem will be zero, because I have to grade it by hand, and that will take a little while. Your score will be updated once I have graded it$.$

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