ashleighlcameron ashleighlcameron
  • 03-03-2020
  • Mathematics
contestada

Write the equation of the ellipse that has a center at
(-2, – 6), a vertex at (-8, – 6), and a covertex at
(-2, -3)

Respuesta :

jdoe0001 jdoe0001
  • 03-03-2020

Check the picture below.

[tex]\bf \textit{ellipse, horizontal major axis} \\\\ \cfrac{(x- h)^2}{ a^2}+\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k) \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{[x-(-2)]^2}{6^2}+\cfrac{[y-(-6)]^2}{3^2}=1\implies \cfrac{(x+2)^2}{36}+\cfrac{(y+6)^2}{9}[/tex]

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