Circles: Graphs and Equations

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The standard equation of a circle. Completing the square.
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Thank you very much ma'am, you really helped me

varun
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Hi Professor. Thanks for the great material for free.

If I may, I have a question around 8:02

Shouldn't the y coordinate for the center be 1. Since using the distance formula, the y coordinate is (y1 - y2)², and if y2 in the general formula for a circle is -1 then plugging it in the distance formula would be ( y1 - (-1) )², hence 1.

Thank you so much. I am trying to self learn.

blessedowo