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\nGiven the vertex and focus determine the standard form of the parabola\n

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\n\nPublisher:\n\nBrian McLogan\n\n\n
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\nLearn how to write the equation of a parabola given the vertex and the focus. A parabola is the shape of the graph of a quadratic equation. A parabola can open up or down (if x is squared) or open left or right (if y is squared). Recall...\nLearn how to write the equation of a parabola given the vertex and the focus. A parabola is the shape of the graph of a quadratic equation. A parabola can open up or down (if x is squared) or open left or right (if y is squared). Recall that the focus and the vertex of a parabola are on the same line of symmetry. When given the focus and the vertex of a parabola, recall that the focus of a parabola is inside the parabola. This enables us to identify the direction which the required parabola opens. We also need to identify the value of p, which is the distance between the vertex and the focus. p is negative when the parabola opens down or left and is positive when the parabola opens right or up. Once we identify the direction and the value of p, we can use the equation of parabola given by (y - k)^2 = 4p(x - h) for parabolas that opens up or down and (x - h)^2 = 4p(y - k) for parabolas that opens left or right\n
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Resource Details

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Curator Rating
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Educator Rating
Not yet Rated
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Media Length
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5:01
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Grade
12th - Higher Ed
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Subjects
Math
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Media Type
Instructional Videos
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Source:
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\nBrian McLogan\n\n
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Date
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2014
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Language
English
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Audiences
For Teacher Use
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Usage Permissions
Fine Print: Educational Use
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Concepts

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vertex, standard form, conic sections
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Additional Tags

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how to write the equation of a parabola, how to write, parabola, focus, directrix, how to, conics, plotting, write, learn how, teach me how, math tutorial, math, maths, learning, vertex(-2 -5), focus(-2 -8), determine the standard form of the parabola, given the vertex and focus, parabola equation from focus and vertex, how, given focus and vertex, standard form of the parabola, find parabola equation given focus and vertex, free math videos, brian mclogan, teach, binomial squared, opens, make, graph, remember, thing, guys, negative, equation, find, information, correct, formula, left, ahead, means, times, 4 equals, equals, minus
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Classroom Considerations

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Best For: Explaining a topic
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