Let S be the quadric surface given by $x ^ { 2 } + 2 y ^ { 2 } + 2 x - z = 0$ . What are the traces of S in each of the three coordinate planes?

Name: Let S be the quadric surface given by $x ^ { 2 } + 2 y ^ { 2 } + 2 x - z = 0$ . What are the traces of S in each of the three coordinate planes?
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The Answer of Let S be the quadric surface given by $x ^ { 2 } + 2 y ^ { 2 } + 2 x - z = 0$ . What are the traces of S in each of the three coordinate planes?

Let S Be the Quadric Surface Given By x2+2y2+2x−z=0x ^ { 2 } + 2 y ^ { 2 } + 2 x - z = 0x2+2y2+2x−z=0

Let S Be the Quadric Surface Given By $x ^ { 2 } + 2 y ^ { 2 } + 2 x - z = 0$