Question: By setting one variable constant, find a plane that intersects the graph of z = - 4 x 2 + y 2 + 1 in

By setting one variable constant, find a plane that intersects the graph of z=-4x2+y2+1 in each of the followings:
a) Parabola opening upward: The intersecting plane is
The equation of the intersecting curve is
b) Parabola opening the right: The intersecting plane is
The equation of the intersecting curve is
c) Pair of intersecting straight lines: The intersecting plane is
Equations of intersecting lines y=
By setting one variable constant, find a plane

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