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Pertanyaan

Bayangan lingkaranleft parenthesis x space minus space 2 right parenthesis squared space plus space left parenthesis y space plus space 3 right parenthesis space squared equals space 25, Oleh transformasi yang bersesuaian dengan matriks open parentheses table row 0 cell negative 1 end cell row 1 0 end table close parentheses dilanjutkan dengan pencerminan terhadap garis y = x adalah ......

  1. x to the power of 2 space end exponent plus space y squared space minus space 6 x space minus space 4 y space minus space 12 space equals space 0

  2. x squared space plus space y squared space minus space space 6 x space plus space 4 y space minus space 12 space equals space 0

  3. x squared space plus space y squared space plus space 4 x space minus space 6 y space minus space 12 space equals space 0

  4. x squared space plus space y squared space minus space 4 x space minus space 6 y space minus space 12 space equals space 0

  5. x squared space plus space y to the power of 2 space end exponent minus space 4 x space plus negative space 6 y space minus space 12 space equals space 0

R. RGFLSATU

Master Teacher

Jawaban terverifikasi

Pembahasan

left parenthesis x space minus space 2 right parenthesis space squared space plus space left parenthesis y space plus space 3 right parenthesis squared space equals space 25 space rightwards arrow space p u s a t space left parenthesis 2 comma negative 3 right parenthesis space d a n space r space equals space 5  M a t r i k s space p e n c e r m i n a n space colon  y space equals space x space a d a l a h space open parentheses table row 0 1 row 1 0 end table close parentheses  M a t r i k s space k o m p o s i s i space t r a n s f o r m a s i  equals open parentheses table row 0 1 row 1 0 end table close parentheses open parentheses table row 0 cell negative 1 end cell row 1 0 end table close parentheses equals open parentheses table row 1 0 row 0 cell negative 1 end cell end table close parentheses  open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row 1 0 row 0 cell negative 1 end cell end table close parentheses open parentheses table row x row y end table close parentheses left right arrow open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row 1 0 row 0 cell negative 1 end cell end table close parentheses to the power of negative 1 end exponent open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses  open parentheses table row x row y end table close parentheses equals fraction numerator 1 over denominator negative 1 minus 0 end fraction open parentheses table row 1 0 row 0 cell negative 1 end cell end table close parentheses open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses  equals open parentheses table row cell negative 1 end cell 0 row 0 1 end table close parentheses open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row cell x apostrophe end cell row cell negative y apostrophe end cell end table close parentheses  D i d a p a t space x space equals space x apostrophe space d a n space y space equals space y apostrophe space times  S u b s i t u s i space x space equals space x apostrophe space d a n space y space equals space y apostrophe space k e space d a l a m space p e r s a m a a n space l i n g k a r a n  left parenthesis x space minus space 2 right parenthesis squared space plus space left parenthesis y space minus space 3 right parenthesis squared space equals space 25  left parenthesis x apostrophe right parenthesis squared space minus 4 x apostrophe plus space 4 space plus space left parenthesis y apostrophe right parenthesis squared space minus 6 y apostrophe plus space 9 space equals space 25  left parenthesis x apostrophe right parenthesis to the power of 2 space end exponent plus space left parenthesis y apostrophe right parenthesis squared space minus space 4 x apostrophe minus space 6 y apostrophe minus 12 space equals space 0  x squared space plus space y squared space minus space 4 x space minus space 6 y space minus 12 space equals space 0

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