SOLUTION: how would you graph x^2=36-y^2?

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Question 193436: how would you graph x^2=36-y^2?
Answer by josmiceli(6800) About Me  (Show Source):
You can put this solution on YOUR website!
This graph is a circle, but a function has only one y-value
for each x. The circle has 2 y-values for most of the x's,
so the circle has to be split up into 2 half-circles, and
each half-circle is a function.
x%5E2=36-y%5E2
y%5E2+=+36+-+x%5E2
y+=+sqrt%2836+-+x%5E2%29
and
y+=+-sqrt%2836+-+x%5E2%29
I'll plot both of these on the same graph
+graph%28+400%2C+400%2C+-7%2C+7%2C+-7%2C+7%2C+sqrt%2836+-+x%5E2%29%2C+-sqrt%2836+-+x%5E2%29%29+