Question

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the circle equations in general form with their corresponding equations in standard form.
x2 + y2 − 4x + 12y − 20 = 0
(x − 6)2 + (y − 4)2 = 56
x2 + y2 + 6x − 8y − 10 = 0
(x − 2)2 + (y + 6)2 = 60
3x2 + 3y2 + 12x + 18y − 15 = 0
(x + 2)2 + (y + 3)2 = 18
5x2 + 5y2 − 10x + 20y − 30 = 0
(x + 1)2 + (y − 6)2 = 46
2x2 + 2y2 − 24x − 16y − 8 = 0
x2 + y2 + 2x − 12y − 9 = 0

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Answer 1

well there's a couple of ways you could do this

you could start with the expanded equations like x2 + y2 + 2x − 12y − 9 = 0, combine the x terms, combine the y terms, complete the square, and factor into one of the condensed equations

or you could start with the condensed equations like (x − 6)2 + (y − 4)2 = 56, apply FOIL, and expand into one of the expanded forms