Victoria5873 Victoria5873
  • 24-05-2018
  • Mathematics
contestada

What is an equation in standard form of an ellipse centered at the origin with vertex (-6,0) and co-vertex (0,4)

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MrGumby
MrGumby MrGumby
  • 30-05-2018
[tex] \frac{x^{2} }{36} [/tex] + [tex] \frac{ y^{2}}{16} [/tex] = 1

This is because the standard form of an ellipse is 

[tex] \frac{ x^{2} }{ a^{2} } [/tex] + [tex] \frac{ y^{2} }{ b^{2} } [/tex] = 1

where a is the vertex and b is the co-vertex. So when we stick their respective x and y values in and then square them, you're left with the answer above. 
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