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Pertanyaan

Lingkaran L : ( x + 1 ) 2 + ( y − 2 ) 2 = 1 ditranslasikanoleh T 1 ​ = ( 1 − 2 ​ ) dilanjutkan translasi oleh T 2 ​ = ( − 3 3 ​ ) .Hasil translasi lingkaran L mempunyai persamaan . . . .

Lingkaran  ditranslasikan oleh  =  dilanjutkan translasi oleh  = . Hasil translasi lingkaran  mempunyai persamaan . . . .

  1. begin mathsize 14px style left parenthesis x plus 3 right parenthesis squared plus left parenthesis y plus 3 right parenthesis squared equals 1 end style 

  2. begin mathsize 14px style left parenthesis x plus 3 right parenthesis squared plus left parenthesis y minus 3 right parenthesis squared equals 1 end style 

  3. begin mathsize 14px style left parenthesis x minus 3 right parenthesis squared plus left parenthesis y minus 3 right parenthesis squared equals 1 end style 

  4. begin mathsize 14px style left parenthesis x minus 1 right parenthesis squared plus left parenthesis y minus 1 right parenthesis squared equals 1 end style 

  5. begin mathsize 14px style left parenthesis x plus 1 right parenthesis squared plus left parenthesis y minus 1 right parenthesis squared equals 1 end style 

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M. Alfi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Jawaban

translasi lingkaran L adalah B.

translasi lingkaran L adalah B. begin mathsize 14px style begin bold style left parenthesis x plus 3 right parenthesis end style to the power of bold 2 bold plus begin bold style left parenthesis y minus 3 right parenthesis end style to the power of bold 2 bold equals bold 1 end style 

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Pembahasan

Jadi, translasi lingkaran L adalah B.

begin mathsize 14px style open parentheses table row cell x to the power of apostrophe end cell row cell y to the power of apostrophe end cell end table close parentheses equals open parentheses table row cell x plus 1 plus open parentheses negative 3 close parentheses end cell row cell y plus open parentheses negative 2 close parentheses plus 3 end cell end table close parentheses equals open parentheses table row cell x minus 2 end cell row cell y plus 1 end cell end table close parentheses end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell x to the power of apostrophe end cell equals cell x minus 2 end cell row x equals cell x to the power of apostrophe plus 2 end cell end table end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell y to the power of apostrophe end cell equals cell y plus 1 end cell row y equals cell y to the power of apostrophe minus 1 end cell end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis x plus 1 right parenthesis squared plus left parenthesis y minus 2 right parenthesis squared end cell equals 1 row cell left parenthesis x to the power of apostrophe plus 2 plus 1 right parenthesis squared plus left parenthesis y to the power of apostrophe minus 1 minus 2 right parenthesis squared end cell equals 1 row cell left parenthesis x to the power of apostrophe plus 3 right parenthesis squared plus left parenthesis y to the power of apostrophe minus 3 right parenthesis squared end cell equals 1 row cell left parenthesis x plus 3 right parenthesis squared plus left parenthesis y minus 3 right parenthesis squared end cell equals 1 end table end style 

Jadi, translasi lingkaran L adalah B. begin mathsize 14px style begin bold style left parenthesis x plus 3 right parenthesis end style to the power of bold 2 bold plus begin bold style left parenthesis y minus 3 right parenthesis end style to the power of bold 2 bold equals bold 1 end style 

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