Cylinders & Quadric Surfaces

The following equation represents:

y + 3 = (z - 1)²

• a cylinder

• an elliptical cylinder

• a hyperbolic cylinder

• a parabolic cylinder

The equation is represented by which graph?

x² - y² + z² = 1

• I

• II

• III

• IV

The equation is represented by which graph?

x² + 4y² + 9z² = 1

• V

• VI

• VII

• VIII

The equation is represented by which graph?

y = 2x² + z²

• V

• VI

• VII

• VIII

The equation is represented by which graph?

y² = x² + 2z²

• I

• II

• III

• IV

The equation is represented by which graph?

9x² + 4y² + z² = 1

• I

• II

• III

• IV

The equation is represented by which graph?

-x² + y² - z² = 1

• I

• II

• III

• IV

The equation is represented by which graph?

y = x² - z²

• V

• VI

• VII

• VIII

The equation is represented by which graph?

x² + 2z² = 1

• V

• VI

• VII

• VIII

For the quadric surface given, identify the center:

9x² + 4y² + 36z² - 18x + 144z + 152 = 0

• (-1, 0, -2)

• (-1, 0, 2)

• (1, 0, -2)

• (1, 0, 2)