SOLUTION: Find an expression for the top half of the circle x^2 + (y

SOLUTION: Find an expression for the top half of the circle x^2 + (y - 2)^2 = 4.

Question 1083696: Find an expression for the top half of the circle x^2 + (y - 2)^2 = 4.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

This is the equation of a circle. So we are looking to find an expression for the function that is the top half of the circle.
Functions are usually written in the form:
y = something; so, solve given equation for
.....add to both sides

.....take sqrt of both sides

so, the top half of the circle is
and the bottom half of the circle is

here is a graph of the top half of the circle

here is a graph of the bottom half of the circle

here is a graph of the whole circle

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