SOLUTION: What is the standard form for {{{ 2(4-x)^2 = 4 - y^2 ? }}} And what type of conic is it?

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Question 676016: What is the standard form for +2%284-x%29%5E2+=+4+-+y%5E2+%3F+
And what type of conic is it?

Answer by jokaehler(26) About Me  (Show Source):
You can put this solution on YOUR website!
+2%284-x%29%5E2+=+4+-+y%5E2+


First, we need to get "x" and "y" on the same side. In order to do that, add "+y%5E2+" to each side.

+2%284-x%29%5E2+%2B+y%5E2+=+4+


Divide both sides by four; after this, we can see that it is an ellipse due to its form +x%5E2%2Fb%5E2+%2B+y%5E2%2Fa%5E2+=+1+

+2%284-x%29%5E2%2F4+%2B+y%5E2%2F4+=+4%2F4+
+%284-x%29%5E2%2F2+%2B+y%5E2%2F4+=+1+