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The transformed equation of x to the power of 2 end exponent minus y to the power of 2 end exponent plus 2 x plus 4 y equals 0 when the origin is shifted to the point (-1,2) is

  1. X to the power of 2 end exponent plus 2 Y to the power of 2 end exponent equals 1    
  2. X to the power of 2 end exponent plus 3 Y to the power of 2 end exponent equals 1    
  3. X to the power of 2 end exponent minus Y to the power of 2 end exponent plus 3 equals 0    
  4. 4 X to the power of 2 end exponent plus 9 Y to the power of 2 end exponent equals 36    

The correct answer is: X to the power of 2 end exponent minus Y to the power of 2 end exponent plus 3 equals 0


    Put x = X-1, y = Y+2
    left parenthesis x minus 1 right parenthesis to the power of 2 end exponent minus open parentheses y plus 2 close parentheses to the power of 2 end exponent plus 2 open parentheses x minus 1 close parentheses plus 4 open parentheses y plus 2 close parentheses equals 0
    x to the power of 2 end exponent minus y to the power of 2 end exponent plus 3 equals 0

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