SOLUTION: (1/2)x^2+(1/8)y^2=(1/4).... How do I graph this. I know I should get one on the left hand side. But then ill get 2x^2 +y^2/2=1 so from here how do I know the a and b if the 2x^2 is

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: (1/2)x^2+(1/8)y^2=(1/4).... How do I graph this. I know I should get one on the left hand side. But then ill get 2x^2 +y^2/2=1 so from here how do I know the a and b if the 2x^2 is      Log On


   



Question 481921: (1/2)x^2+(1/8)y^2=(1/4).... How do I graph this. I know I should get one on the left hand side. But then ill get 2x^2 +y^2/2=1 so from here how do I know the a and b if the 2x^2 isn't a fraction w denominator...
Found 2 solutions by ewatrrr, solver91311:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
Note: 2x%5E2+=+x%5E2%2F%281%2F2%29
x%5E2%2F%281%2F2%29+%2B+y%5E2%2F2+=+1
Standard Form of an Equation of an Ellipse is %28x-h%29%5E2%2Fa%5E2+%2B+%28y-k%29%5E2%2Fb%5E2+=+1+
where Pt(h,k) is the center and a and b are the respective vertices distances from center.
In this case: a = sqrt(.5) and b = sqrt(2)

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Multiply both sides by 4:



Now compare the result to:



Which is the equation of a ellipse centered at the origin with a horizontal semi-axis , and a vertical semi-axis .

John

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