If f(x', y) = 0
is the
transformed equation of a
curve when the axes are
translated to the point (h,k)
then the original equation
of the curve is
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Answer:
The answer is f(x'-h, y'-k)=0.
Step-by-step explanation:
i) Let the original equation be f(x,y)=0.
ii) When the axes are translated to the point (h,k), the new equation is f(x',y')=0.
iii) The coordinates are related as:
x+h= x' & y+k=y'
Hence,
x=x'-h & y=y'-k
iv) Hence, the original equation is f(x'-h, y'-k)=0.
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