Question 1195784: Write the equation for a circle centered at the origin with y-intercepts of (0,-4) and (0,4).Use ^2 for squared, ^3 for cubed, etc.
Answer by math_tutor2020(3817)   (Show Source):
You can put this solution on YOUR website!
The origin is (0,0)
(h,k) = (0,0) is the center
h = 0 and k = 0
The distance from the origin to either (0,-4) or (0,4) is r = 4 units which is the radius of the circle.
(x-h)^2 + (y - k)^2 = r^2
(x-0)^2 + (y - 0)^2 = 4^2
x^2 + y^2 = 16 is the final answer.
You can use online graphing tools like Desmos, GeoGebra, or similar to confirm this answer.
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