Find the focus, directrix and vertex of a parabola in conic sections

Find the focus, directrix and vertex of a parabola in conic sections

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to identify the vertex, focus, and directrix of a parabola. It begins with determining the vertex using the formula y - K, where K is the y-coordinate of the vertex. The focus is found by solving for P in the equation 4P = 1/2, resulting in a focus point of (1/8, 2). Finally, the directrix is identified as a vertical line at X = -1/8. The tutorial emphasizes common mistakes and provides tips for correctly plotting these points.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the vertex of the parabola discussed in the text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the value of K in the vertex formula?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the value of P as calculated in the text?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe how to find the focus of the parabola.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the equation of the directrix mentioned in the text?

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