• anonymous
write an equation for the ellipse with a center at (0,0), a focus at (3,0), and a vertex at (-5,0)
  • Stacey Warren - Expert
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  • chestercat
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  • toxicsugar22
what is a focus again
  • anonymous
By symmetry, you can deduce the other forcus and the other vertex. Your h and k are given. Because vertices are (h-a, k) and (h+a, k) you know a, similarly from foci you know c. You can deduce b from\[c =\sqrt{a ^{2}+b ^{2}}\] You have everything you need for your equation.

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