{"page":"\n\n
\n
\n
\n
\n
\n\nVideo\n
\n

\nGiven the vertices and foci, write the standard equation of an ellipse\n

\n
\n
\nGet Free Access for 10 Days!\n
\n
\n
\n
\n
\n
×
\n\n\n
\n\nPublisher:\n\nBrian McLogan\n\n\n
\n
\nLearn how to write the equation of an ellipse from its properties. The equation of an ellipse comprises of three major properties of the ellipse: the major radius (a), the minor radius (b) and the center (h, k). The ellipse is vertical...\nLearn how to write the equation of an ellipse from its properties. The equation of an ellipse comprises of three major properties of the ellipse: the major radius (a), the minor radius (b) and the center (h, k). The ellipse is vertical if the major radius in vertical and the ellipse is horizontal if the major radius is horizontal. When given the two foci of the ellipse, the center of the ellipse is halfway between the two foci. When given the vertices of an ellipse, the major radius of an ellipse is the distance between the center of the ellipse and its vertices. Using the pythagoras identity for the relationship between the focal length (distance between the center and the foci) and the radius, we can obtain the minor radius. After obtaining the center, the major and the minor radius, they are plugged into the equation of an ellipse to obtain the desired equation.\n
\n
\n\n
\n
\n
\n
\n

Resource Details

\n
\n
\n
\n
Curator Rating
\n
\n
\n
\n
\n
\n
Educator Rating
Not yet Rated
\n
\n
\n
\n
\n
Media Length
\n
6:05
\n
\n
\n
\n
\n
Grade
12th - Higher Ed
\n
\n
\n
\n
\n
Subjects
Math
5 more...
\n
\n
\n
\n
\n
Media Type
Instructional Videos
\n
\n
\n
\n
\n
Source:
\n
\nBrian McLogan\n\n
\n
\n
\n
\n
\n
Date
\n
2013
\n
\n
\n
\n
\n\n
Language
English
\n
\n
\n
\n
\n
Audiences
For Teacher Use
2 more...
\n
\n
\n
\n
\n
Usage Permissions
Fine Print: Educational Use
\n
\n
\n
\n
\n
\n

Additional Materials

\n
\n\nSign in or Join Now
\" data-title=\"Get Full Access\" data-container=\"body\" rel=\"popover\" tabindex=\"0\" href=\"/subscription/new\">Video Transcript\n
\n
\n\nSign in or Join Now
\" data-title=\"Get Full Access\" data-container=\"body\" rel=\"popover\" tabindex=\"0\" href=\"/subscription/new\">Video Preview\n
\n
\n
\n

Concepts

\n
\n
foci, major axis, center, vertices, plot, vertical, horizontal, distance, matter, minor axis, conic sections
\n
\n\n\n
\n
\n
\n
\n

Additional Tags

\n
\n
how to write the equation of a ellipse, how to write, ellipse, writing the equation, co-vertices, how to, conics, plotting, graph, learn how, math tutorial, tutorial teach, math, maths, learning, vertices (±6 0), foci (±2 0), how to write the equation of a ellipse in standard form, how to write the equation of an ellipse from a graph, conic, given vertices and foci, origin, center at the origin, بالنظر إلى القمم والبؤر, math teacher, good, call, ladies, interview, baby, give, write, equation, remember, information, thing, left, figure, minus, 6 units, problem, squared, positive, square, gave
\n
\n\n\n
\n
\n
\n
\n

Classroom Considerations

\n
Best For: Explaining a topic
Video is ad-free
\n
\n
\n

Educator Ratings

\n
\n
\n
\n
\n
\n\nShow resource details\n
\n
\n\" data-title=\"Get Full Access\" data-container=\"body\" rel=\"popover\" tabindex=\"0\" aria-label=\"Play video: Given the vertices and foci, write the standard equation of an ellipse\" href=\"/subscription/new\">\"Given\n\n
\n
\n
\n\n\n\n"}