Hyperbola and Parabola

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Which statement/s is/are true for hyperbolic paraboloid?

• The horizontal cross section is a hyperbola.

• The vertical cross section is a parabola.

• It is used in architecture.

• This shape is weak and prone to cracks.

Determine the value of b

• 1

• 2

• 3

• 4

What is the orientation of the hyperbola?

• vertical

• horizontal

What type of conic section is shown?

• Ellipse

• Parabola

• Hyperbola

• Circle

When the cutting plane intersects the two cones parallel to their vertical axes and perpendicular to their bases, then the conic section is a _______________.

• Parabola

• Circle

• Hyperbola

• Ellipse

These are figures that formed by intersecting two inverted cones and a plane.

• Cross Sections

• Conic Sections

• Circles

• Parabolas

Match the formula with the given conic.

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For the parabola, (x + 3)² = -12y, state the vertex. Write this problem and answer down. You will use it for the next few questions.

• (3, 0)

• (-3, 0)

• (0, 3)

• (0, -3)

For the parabola, (x + 3)² = -12y, what is p and which way does it open? Write the answer down, you will need it for the next few problems.

• 12, down

• 12, up

• 3, down

• 3, up