Learn how to identify the focus and directrix by completing the square

Learn how to identify the focus and directrix by completing the square

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to identify the vertex, directrix, and focus of a parabola by rewriting the equation in a specific format. It covers the process of completing the square to form a perfect square trinomial, factoring it into a binomial square, and identifying the vertex. The tutorial also discusses finding the focus and directrix, emphasizing common mistakes students make and how to avoid them.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you rewrite the equation of a parabola in standard form after completing the square?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the vertex coordinates (H, K) and the values in the equation of the parabola?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe how to graph a parabola once the vertex, focus, and directrix have been identified.

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