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Unformatted text preview: We want to translate the circle in the xy-plane with radius 3 and center 0, 0 ( ) so that its new center is at 2, 1 ( ) . Find the standard form of the equation of the new circle. Solution We take the equation x 2 + y 2 = 9 for the old black circle and: Replace x with x 2 ( ) ( ) , or x + 2 ( ) , and Replace y with y 1 ( ) . This is because we need to shift the black circle left 2 units and up 1 unit to obtain the new red circle....
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- Spring '09