Posted by **pedro** on Tuesday, July 10, 2012 at 11:45am.

Find the vertices and foci of this ellipse 4x^2+16y^2+64x+64y+256=0

- algebra -
**Steve**, Tuesday, July 10, 2012 at 1:09pm
4x^2+16y^2+64x+64y+256=0

4x^2+64x+256 + 16y^2+64y+64 = -256

4(x+8)^2 + 16(y+2)^2 = -256 + 256 + 64

(x+8)^2 + 4(y+2)^2 = 16

(x+8)^2/16 + (y+2)^2/4 = 1

h=-8 k=-2

a=4 b=2 c=√12

center: (-8,-2)

vertices: (-12,-2) (-4,-2)

foci: (-8-√12,-2) (-8+√12,-2)

## Answer this Question

## Related Questions

- Math - 9x^2+16y^2-18x+64y-71=0 find the coordinates of the center, the foci, and...
- algebra 2 - Graph the equation. Identify the vertices, co-vertices, and foci of ...
- Pre-calculus - For the ellipse with equation 5x^2+64y^2+30x+128y-211=0, find the...
- Precalc - Find the center and vertices of the ellipse. 4x^2 + 16y^2 - 64x - 32y...
- math - Find the vertices, foci, and eccentricity of the ellipse. 64x^2 + 81y^2...
- Algebra 2 - Choose the equation that best represents an ellipse for the given ...
- algebra - Choose the equation that best represents an ellipse for the given foci...
- Math - Find the center, vertices, foci, and eccentricity of the ellipse. 9x^2 + ...
- AlgebraII - Choose the equation that best represents an ellipse for the given ...
- algebra - An ellipse has foci (0,+-3) and vertices (0,+-4). What is the ...