Classify the surface. Select the correct answer.
$$22 x ^ { 2 } + y ^ { 2 } - z ^ { 2 } - 2 y + 2 z = 0$$
A) A hyperboloid of one sheet with center $( - 3,0,1 )$ and axis parallel to the $z$-axis.
B) A cone with axis parallel to the $z$-axis and vertex $( 0,1,1 )$.
C) A circular paraboloid with vertex $( 0,3,1 )$ and axis the $z$-axis.

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The Answer of Classify the surface. Select the correct answer.
$$22 x ^ { 2 } + y ^ { 2 } - z ^ { 2 } - 2 y + 2 z = 0$$
A) A hyperboloid of one sheet with center $( - 3,0,1 )$ and axis parallel to the $z$-axis.
B) A cone with axis parallel to the $z$-axis and vertex $( 0,1,1 )$.
C) A circular paraboloid with vertex $( 0,3,1 )$ and axis the $z$-axis.

Classify the Surface 22x2+y2−z2−2y+2z=022 x ^ { 2 } + y ^ { 2 } - z ^ { 2 } - 2 y + 2 z = 022x2+y2−z2−2y+2z=0

Classify the Surface $22 x ^ { 2 } + y ^ { 2 } - z ^ { 2 } - 2 y + 2 z = 0$