Question 691496: graph the ellipse using the proper algebra
x^2+(y^2/12)=1
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! graph the ellipse using the proper algebra
x^2+(y^2/12)=1
This is an equation of an ellipse with vertical major axis.
Its standard form:  , a>b, (h,k)=(x,y) coordinates of center.
For given equation: x^2+(y^2/12)=1
center: (0,0)
a^2=12
a=√12≈3.46
vertices: (0,0±a)=(0,0±√12)=(0,0±3.46)=(0,-3.46) and (0,3.46) (y-intercepts)
b^2=1
b=1
x-intercepts:(±1,0)=(-1,0) and (1,0)
see graph below as a visual check on the foregoing algebra:
y=±(12-12x^2)^.5
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