SOLUTION: graph the ellipse and give the domain and range [(x-8)^2/100]+[(y-5)^2/49]=1

Question 819444: graph the ellipse and give the domain and range
[(x-8)^2/100]+[(y-5)^2/49]=1
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
graph the ellipse and give the domain and range
[(x-8)^2/100]+[(y-5)^2/49]=1
This is an equation of an ellipse with horizontal major axis.
Its standard form of equation: , a>b, (h,k)=(x,y) coordinates of center.
..
For given ellipse:
center:(8,5)
a^2=100
a=√100=10
vertices: (8�a,5)=(8�10,5)=(-2,5) and (18,5)(end-points of horizontal major axis)
b^2=49
b=√49=7
minor axis: (8,5�b)=(8,5�7)=(8,-2) and (8,12) (end-points of minor axis)
domain:(-2,18)
range:(-2,12)
see graph below:
y=�(49-49(x-8)^2/100)^.5+5

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