Question 807565: Identify the center, radius, and graph of x²+(y+2)²=25. Enter the center as an ordered pair,including the comma. Enter the radius exactly. don not use a decimal approximation.
Answer by Edwin McCravy(20065)   (Show Source):
You can put this solution on YOUR website! Identify the center, radius, and graph of x²+(y+2)²=25. Enter the center as an ordered pair,including the comma. Enter the radius exactly. don not use a decimal approximation
Use the fact that
(x-h)² + (y-k)² = r² is the equation of a circle,
where (h,k) = the center and r = the radius.
In your problem, x² + (y+2)² = 25, write x as (x-0) and 25 as 5²
(x-0)² + (y+2)² = 5²
Compare that to
(x-h)² + (y-k)² = r²
and we see that h=0, k=-2, and r=5
so the center is (0,-2) and the radius is 5.
Edwin
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