Question

3) Find an equation in standard form for the ellipse that satisfies the given conditions: Foci $(0, \pm3)$, major axis length 10 (You're going to want to roughly sketch this first so you can find the center and vertices. Use the fact you have the foci, center, vertices to find a,b,c) $\frac{(y-k)^2}{a^2} + \frac{(x-h)^2}{b^2} = 1$

          3) Find an equation in standard form for the ellipse that satisfies the given conditions:
Foci $(0, \pm3)$, major axis length 10
(You're going to want to roughly sketch this first so you can find the center and vertices. Use the fact you have
the foci, center, vertices to find a,b,c)
$\frac{(y-k)^2}{a^2} + \frac{(x-h)^2}{b^2} = 1$

3) Find an equation in standard form for the ellipse that satisfies the given conditions:
Foci (0, ±3), major axis length 10
(You're going to want to roughly sketch this first so you can find the center and vertices. Use the fact you have
the foci, center, vertices to find a,b,c)
((y-k)^2)/(a^2) + ((x-h)^2)/(b^2) = 1

Added by Josefa E.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Suman Saurav Thakur

09/12/2020

Step 1

The major axis length is 10, so the distance from the center to each vertex is 5. Therefore, the vertices are at (0, ±5). Now, let's sketch the ellipse: Show more…

Show all steps

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Find an equation in standard form for the ellipse that satisfies the given conditions: Foci (0, Â±3), major axis length 10. (You're going to want to roughly sketch this first so you can find the center and vertices. Use the fact that you have the foci, center, and vertices to find a, b, c.)