campbarbeccab campbarbeccab

06-08-2016
Mathematics

Answered

Find an expression for the function whose graph is the given curve.

The top half of the circle x^2 + (y − 3)^2 = 4

Verified Answer :

taskmasters taskmasters

11-08-2016

We can accomplish this by:

(y-3)^2=4-x^2

Now, lets take the square root of both sides:

y-3=±sqrt(4-x^2)

y=±sqrt(4-x^2)+3

Now, we only need the top half or the positive half so this means that our answer is simply:

y=sqrt(4-x^2)+3

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