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Garis g : 2 x − y + 3 = 0 ditransformasikan terhadap matrik ( 2 − 1 ​ − 5 3 ​ ) , lalu dilanjutkan refleksi terhadap sumbu Y. Persamaan garis hasil transformasi adalah . . . .

Garis ditransformasikan terhadap matrik , lalu dilanjutkan refleksi terhadap sumbu Y. Persamaan garis hasil transformasi adalah . . . .

  1. begin mathsize 14px style 5 x space plus space 8 y space minus space 3 space equals space 0 end style

  2. size 14px 5 size 14px x size 14px space size 14px minus size 14px space size 14px 8 size 14px y size 14px space size 14px plus size 14px space size 14px 3 size 14px space size 14px equals size 14px space size 14px 0

  3. size 14px 5 size 14px x size 14px space size 14px minus size 14px space size 14px 8 size 14px y size 14px space size 14px minus size 14px space size 14px 3 size 14px space size 14px equals size 14px space size 14px 0

  4. size 14px 8 size 14px x size 14px minus size 14px space size 14px 5 size 14px y size 14px space size 14px plus size 14px space size 14px 3 size 14px space size 14px equals size 14px space size 14px 0

  5. size 14px 8 size 14px x size 14px space size 14px minus size 14px space size 14px 5 size 14px y size 14px space size 14px minus size 14px space size 14px 3 size 14px space size 14px equals size 14px space size 14px 0 

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M. Alfi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

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persamaan garis hasil transformasi adalah C.

persamaan garis hasil transformasi adalah C. begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold 5 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold italic x end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold 8 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold italic y end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold 3 end table table attributes columnalign right center left columnspacing 0px end attributes row blank bold equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold 0 end table end style 

Pembahasan

Jadi, persamaan garis hasil transformasi adalah C.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 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 end cell equals cell open parentheses table row cell negative 1 end cell 0 row 0 1 end table close parentheses open parentheses table row 2 cell negative 5 end cell row cell negative 1 end cell 3 end table close parentheses open parentheses table row x row y end table close parentheses end cell row cell 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 end cell equals cell open parentheses table row cell negative 2 end cell 5 row cell negative 1 end cell 3 end table close parentheses open parentheses table row x row y end table close parentheses end cell row cell open parentheses table row x row y end table close parentheses end cell equals cell open parentheses table row cell negative 2 end cell 5 row cell negative 1 end cell 3 end table close parentheses to the power of negative 1 end exponent 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 end cell row cell open parentheses table row x row y end table close parentheses end cell equals cell open parentheses table row cell negative 3 end cell 5 row cell negative 1 end cell 2 end table close parentheses 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 negative 3 x to the power of apostrophe plus 5 y to the power of apostrophe end cell row cell negative x to the power of apostrophe plus 2 y to the power of apostrophe end cell end table close parentheses end cell row blank blank blank end table end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 2 x minus y plus 3 end cell equals 0 row cell 2 left parenthesis negative 3 x to the power of apostrophe plus 5 y to the power of apostrophe right parenthesis minus left parenthesis negative x to the power of apostrophe plus 2 y to the power of apostrophe right parenthesis plus 3 end cell equals 0 row cell negative 5 x to the power of apostrophe plus 8 y apostrophe plus 3 end cell equals 0 row cell 5 x to the power of apostrophe minus 8 y to the power of apostrophe minus 3 end cell equals 0 row cell 5 x minus 8 y minus 3 end cell equals 0 end table end style

Jadi, persamaan garis hasil transformasi adalah C. begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold 5 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold italic x end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold 8 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold italic y end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold 3 end table table attributes columnalign right center left columnspacing 0px end attributes row blank bold equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold 0 end table end style 

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