document.write( "Question 156855: how do i graph the circle, x^2 + 4y^2 =1 \n" ); document.write( "

Algebra.Com's Answer #115646 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
You graph \"circles\" by plotting two graphs as follows:
\n" ); document.write( "First, solve the given equation for y:
\n" ); document.write( " $\"x%5E2%2B4y%5E2+=+1\"$ Subtract x^2 from both sides.
\n" ); document.write( " $\"4y%5E2+=+-x%5E2%2B1\"$ Now divide both sides by 4.
\n" ); document.write( " $\"y%5E2+=+%28-x%5E2%2B1%29%2F4\"$ Finally, take the square root of both sides.
\n" ); document.write( " $\"y+=+sqrt%28%28-x%5E2%2B1%29%2F2%29\"$ or $\"y+=+-sqrt%28%28-x%5E2%2B1%29%2F2%29\"$
\n" ); document.write( "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.
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