Conic Sections: Parabolas - WordPress.com · Parabolas in Standard Form 9 2 Find the focus and the directrix of the parabola given by x 4 . y

Conic Sections: Parabolas Honors Precalculus

Mr. Velazquez

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Definition of a Parabola

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Definition of a Parabola

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Definition of a Parabola

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2

Find the vertex and the axis of symmetry of the parabola given

by y 2( 3) 4. Does it open up or down?x

Parabolas in Standard Form

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Parabolas in Standard Form

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2

Find the focus and the directrix of the parabola given

by y 24 .x

Parabolas in Standard Form

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Parabolas in Standard Form

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Parabolas in Standard Form

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2

Find the focus and the directrix of the parabola

given by x 4 .y

Parabolas in Standard Form

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2

Find the focus and the directrix of the parabola

given by y 12 .x

Translations of Parabolas

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Translations of Parabolas

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Translations of Parabolas

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Translations of Parabolas

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Find the standard form of the equation of a parabola

with focus (0,3) and directrix of y=-1

x

y

Translations of Parabolas

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2

Find the vertex, focus and directrix of the parabola

given by (x-3) 8( 1).y

x

y

Translations of Parabolas

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2

Find the vertex, axis, focus, and directrix of the parabola

by completing the square on the equation

8y=2x 12 14.x

Exit Ticket: Parabolas

Graph the following pair of parabolas on the same set of coordinate axes; label each graph with its corresponding standard form equation, the focus, latus rectum, and directrix for both parabolas.

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