How do you write the Ellipse equation given vertex at (-5,0) and co vertex at (0,4)?

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Answer 1 · 2016-02-02T11:21:58

#(x-0)^2/25+(y-0)^2/16=1#

ALSO #x^2/25+y^2/16=1#

From the given Vertex#(-5, 0)# and Co-vertex #(0, 4)#

this means Center #(h, k)=(0, 0)# and
#a=5# and #b=4#

The standard form of the ellipse with horizontal major axis is

#(x-h)^2/a^2+(y-k)^2/b^2=1#

#(x-0)^2/5^2+(y-0)^2/4^2=1#

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