Question: Name the quadric surface defined by x^2 + z = 4y^2 +3 and give a detailed description of all the horizontal and vertical traces

Name the quadric surface defined by x^2 + z = 4y^2 +3

Name the quadric surface defined by x^2 + z = 4y^2 +3 and give a detailed description of all the horizontal and vertical traces of this surface. Your description must include the name and a general equation of the family of trace curves, and the coordinates of any special points on these trace curves.

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