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

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

Question

Mathematics

Yusuf Sutton

23 December, 22:02

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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Answers (1)

Know the Answer?

Yaritza Singleton · Answer 1

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

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

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

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