Posted by pedro on Tuesday, July 10, 2012 at 11:45am.
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)
Related Questions
algebra 2 - Graph the equation. Identify the vertices, co-vertices, and foci of ...
Math - 9x^2+16y^2-18x+64y-71=0 find the coordinates of the center, the foci, and...
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...
Pre-calculus - For the ellipse with equation 5x^2+64y^2+30x+128y-211=0, find the...
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 II-Please check my calculation - Find center, vertices, co-vertices and ...
For Further Reading