Identify the Trace of the Surface $x = y ^ { 2 } + z ^ { 2 }$

Multiple Choice

Identify the trace of the surface $x = y ^ { 2 } + z ^ { 2 }$ in the plane x = y.

A) ellipse but not a circle
B) parabola
C) hyperbola
D) circle
E) two parallel straight lines
F) two intersecting straight lines
G) point
H) straight line