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Worksheet 9.4 Exercises for Quadric Surfaces

If you would like to review this topic before attempting the exercises, click Quadric Surfaces.

1. Matching Quadric Surfaces.

Six quadric surfaces labeled A through F: an ellipsoid, a cone opening along the y axis, a saddle, a cylinder parallel to the y axis, a paraboloid opening along the positive y axis, and two bowl-shaped pieces meeting at the origin.
Match the equations of the surfaces with the graphs A–F shown above by entering a letter from A to F in each blank.
\(y = 2x^2 + z^2\) matches graph .
\(y^2 = x^2 + 2z^2\) matches graph .
\(x^2 + 2z^2 = 1\) matches graph .
\(y = x^2 - z^2\) matches graph .
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