Question

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

I am confused with what this question is asking.

Answer 1

well, what is asking is to find a function that defines the top half of this circle

Answer 2

Ok thanks, I understand what it is trying to say now.

Answer 3

now to do so, we must first solve this expression for y.

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

Answer 4

Thanks but next time if you decide to help me, please don't show a solution. I would just like hints.

Answer 5

my bad, just cover your eyes :)