SOLUTION: how do i graph the circle, x^2 + 4y^2 =1

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Question 156855: how do i graph the circle, x^2 + 4y^2 =1
Found 2 solutions by Alan3354, Earlsdon:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
how do i graph the circle, x^2 + 4y^2 =1
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That's an ellipse.
To graph either, or any curve, you plot a number of points and then connect them with smooth lines.
To find the points, solve for one variable in terms of the other. In this case:
x = sqrt(1 - 4y^2)
You can use Excel to find any # of points, and to make the graph.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You graph "circles" by plotting two graphs as follows:
First, solve the given equation for y:
x%5E2%2B4y%5E2+=+1 Subtract x^2 from both sides.
4y%5E2+=+-x%5E2%2B1 Now divide both sides by 4.
y%5E2+=+%28-x%5E2%2B1%29%2F4 Finally, take the square root of both sides.
y+=+sqrt%28%28-x%5E2%2B1%29%2F2%29 or y+=+-sqrt%28%28-x%5E2%2B1%29%2F2%29
Now when you graph these two functions, you'll see half the "circle" above the x-axis and the other half "circle" below the x-axis.