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Parabola Equation Anatomy

Author:Tim Brzezinski

Topic:Conic Sections, Parabola

Interact with this app for a few minutes. Be sure to move points around, drag sliders slowly, etc.

How can you tell if the parabola has an axis of symmetry that is horizontal? Vertical? Explain.

How can you tell if the parabola has a directrix that is horizontal? Vertical? Explain.

Suppose the equation of a parabola is , where . Which of the following statments, if any, are true about this parabola?

Select all that apply

A
Its focus lies above its vertex.
B
Its focus lies below its vertex.
C
Its focus lies to the right of its vertex.
D
Its focus lies to the left of its vertex.
E
Its directrix lies above its vertex.
F
Its directrix lies below its vertex.
G
Its directrix lies to the right of its vertex.
H
Its directrix lies to the left of its vertex.

Check my answer (3)

Suppose the equation of a parabola is , where . Which of the following statments, if any, are true about this parabola?

Select all that apply

A
Its focus lies above its vertex.
B
Its focus lies below its vertex.
C
Its focus lies to the right of its vertex.
D
Its focus lies to the left of its vertex.
E
Its directrix lies above its vertex.
F
Its directrix lies below its vertex.
G
Its directrix lies to the right of its vertex.
H
Its directrix lies to the left of its vertex.

Check my answer (3)

Suppose the equation of a parabola is , where . Which of the following statments, if any, are true about this parabola?

Select all that apply

A
Its focus lies above its vertex.
B
Its focus lies below its vertex.
C
Its focus lies to the right of its vertex.
D
Its focus lies to the left of its vertex.
E
Its directrix lies above its vertex.
F
Its directrix lies below its vertex.
G
Its directrix lies to the right of its vertex.
H
Its directrix lies to the left of its vertex.

Check my answer (3)

Suppose the equation of a parabola is , where . Which of the following statments, if any, are true about this parabola?

Select all that apply

A
Its focus lies above its vertex.
B
Its focus lies below its vertex.
C
Its focus lies to the right of its vertex.
D
Its focus lies to the left of its vertex.
E
Its directrix lies above its vertex.
F
Its directrix lies below its vertex.
G
Its directrix lies to the right of its vertex.
H
Its directrix lies to the left of its vertex.

Check my answer (3)

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