SOLUTION: What are the foci of the eqation (x+4)^2/9 + (y-2)^2/1 = 1

Algebra.Com
Question 580267: What are the foci of the eqation (x+4)^2/9 + (y-2)^2/1 = 1
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
What are the foci of the equation
(x+4)^2/9 + (y-2)^2/1 = 1
This is an equation of an ellipse with horizontal axis of the standard form:
(x-h)^2/a^2+(y-k)^2/b^2=1, a>b, (h,k) being the (x,y) coordinates of the center.
..
For given equation:
center: (-4,2)
a^2=9
b^2=1
c^2=a^2-b^2=9-1=8
c=√8
Foci=(-4±c,2)=(-4±√8,2)=(-4±2.83,2)=(-6.83,2) and (-1.17,2)



RELATED QUESTIONS

X^2/9-y^2/4=1 foci are... (answered by MathLover1)
what are the intercepts, the foci and the asymptotes for the hyperbola?... (answered by ewatrrr)
What are the foci of the hyperbola given by the equation (x+10)^2/25 - (y+1)^2/9 = 1? (answered by Edwin McCravy)
graph the eqation... (answered by jim_thompson5910)
An ellipse has the equation x^2+y^2=1 What are the coorinates of the foci ? (answered by Fombitz)
what would be the vertices, foci, and asymptotes of... (answered by robertb)
Y^2 − x^2 /4 = 1.What are all the vertices,asymptotes, foci and... (answered by MathLover1)
What are the foci of the ellipse... (answered by jrfrunner)
what are the foci of the graph... (answered by MathLover1)