Answer
See image:
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Work Step by Step
Subtract 4 and divide with (-4)
$\displaystyle \frac{x-4}{-4}=\frac{y^{2}}{1^{2}}+\frac{z^{2}}{2^{2}}$
Compare with Table 11.1 and, after interchanging x and z, conclude that this is an elliptical paraboloid,
which opens toward the negative direction of x.
The vertex is shifted 4 units in the +x direction.
The traces in xy and xz planes are parabolas.
The traces in planes parallel to the yz plane are ellipses.
