SOLUTION: (x-2)^2+4y^2=16 I need to get the center, the vertices, and foci.

Algebra.Com
Question 971219: (x-2)^2+4y^2=16
I need to get the center, the vertices, and foci.

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
(x-2)^2+4y^2=16
divide by 16
x^2/16 +4y^2/16 =1= x^2/16 + y^2/4
This is an ellipse centered on the origin.
The x-axis goes from (-4,0) to (0,4).
The y-axis goes from (0-2) to (0,2) Those points are the vertices.
The foci are
f=(sqrt (16-4))=2 sqrt (3)
They are along the x-axis at (-2sqrt(3),0) and (2 sqrt (3),0)
2sqrt(3)=3.464

RELATED QUESTIONS

I have to find the center, vertices, co-vertices, foci, and asymptotes of the hyperbola... (answered by lwsshak3)
I have to find the center, vertices, co-vertices, foci, and asymptotes for the hyperbola... (answered by Edwin McCravy)
I need to find the center,vertices, and foci of the ellipse... (answered by Edwin McCravy)
X^2-10x+37+4y^2+16y=0 I need the following: Center foci Major axis Minor Axis (answered by solver91311)
I need help finding the center, vertices, and foci for the following equation:... (answered by venugopalramana)
I need to find the foci, the center and the vertices of an ellipse Equation: (x+50)^2/25 (answered by lwsshak3)
Find the center, vertices and foci of the ellipse... (answered by lwsshak3)
Find the center, vertices, foci and asymptotes for the hyperbola 25x^2 - 4y^2 =... (answered by ikleyn)
Find the vertices, foci, and center of the hyperbola. Graph the equation. 4y^2 - x^2 -... (answered by lwsshak3)