Describe the trace of the surface given by the function below in the xy-plane. $x ^ { 2 } - y - z ^ { 2 } = 0$
A)hyperbola
B)parabola
C)ellipse
D)line
E)circle

Name: Describe the trace of the surface given by the function below in the xy-plane. $x ^ { 2 } - y - z ^ { 2 } = 0$ A)hyperbola B)parabola C)ellipse D)line E)circle
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Question

Quizplus · Accepted Answer

The equation $x^2 - y - z^2 = 0$ can be rewritten as $y = x^2 - z^2$. In the xy-plane (where z is constant), this represents a parabola.

Describe the Trace of the Surface Given by the Function x2−y−z2=0x ^ { 2 } - y - z ^ { 2 } = 0x2−y−z2=0

Describe the Trace of the Surface Given by the Function $x ^ { 2 } - y - z ^ { 2 } = 0$