campbarbeccab
campbarbeccab campbarbeccab
  • 06-08-2016
  • Mathematics
contestada

Find an expression for the function whose graph is the given curve.
The top half of the circle x^2 + (y − 3)^2 = 4

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taskmasters
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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