Here is the sketch of the hyperbolic paraboloid represented by the equation $4x^2 + 9z^2 = 9y^2$. The surface features a saddle shape, with parabolic cross-sections in the $x$-$y$ plane and hyperbolic sections in the $z$-$y$ plane.

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Related questions:

1. How do we recognize different conic sections in three-variable equations?
2. What are the differences between parabolas, hyperbolas, and ellipses?
3. How do changes in coefficients affect the shape of a hyperbolic paraboloid?
4. Can hyperbolic paraboloids be found in real-life structures?
5. What is the significance of symmetry in 3D surfaces?

Tip:

When analyzing 3D shapes from equations, cross-sections along planes can provide insights into the surface's geometry.