How to write the equation of a parabola in conic sections given vertex and directrix

How to write the equation of a parabola in conic sections given vertex and directrix

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to plot a vertex and directrix on a graph, determine the direction in which the graph opens, and formulate the equation of a parabola. The teacher emphasizes the importance of understanding the relationship between the vertex, directrix, and focus, and how these elements influence the graph's direction. The tutorial concludes with a clarification of concepts and the final equation.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What equation is used when the graph opens to the left, and how is it derived?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the value of P affect the orientation of the parabola?

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