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x' = x+2 --> x = x' - 2
y' = y -1 --> y = y' +1
sub ke x^2 +y^2 = 16
(x-2)^2 + (y+1)^2 = 16
x^2 +y^2 - 4x + 2y = 16+4+1
x^2 +y^2 - 4x + 2y = 21
.
2)
x' = x+3 --> x = x' - 3
y' = y+1--> y = y' -1
sub ke
a)
(x-3)^2 + (y-1)^2 + 6(x-3) + 3(y-1) - 40 = 0
x^2 -6x + 9 + y^2 -2y +1 +6x - 18 + 3y - 3 - 40 = 0
x^2 + y^2 + y = 51
.
b) 2(x-3) +(y -1) -10 =0
2x-6 +y -1-10 =0
2x + y = 17