Find an expression for the function whose graph is the given curve. The top half of the circle x2 + (y − 3)2 = 4

Question

Find an expression for the function whose graph is the given curve.
The top half of the circle x2 + (y − 3)2 = 4

Answer 1

Alright Adam, last answer from me!

We need to solve for y in this instance and it will give us the right answer.

 

x² + (y − 3)² = 4   Move x² over

(y − 3)² = 4 - x²   Square root both sides

y - 3 = sqrt(4 - x²)   Add 3 to both sides

 

y = sqrt(4 - x²) + 3

 

Throw that into a calculator and it'll work!

 

Good Luck Adam!