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Lingkaran L : ( x + 1 ) 2 + ( y − 2 ) 2 = 1 dirotasikan sebesar 90° terhadap titik pusat (0, 0). Kemudian direfleksikan terhadap sumbu X. Persamaan lingkaran hasil transformasi lingkaran L adalah...

Lingkaran dirotasikan sebesar 90° terhadap titik pusat (0, 0). Kemudian direfleksikan terhadap sumbu X. Persamaan lingkaran hasil transformasi lingkaran L adalah...

  1. size 14px left parenthesis size 14px x size 14px space size 14px minus size 14px space size 14px 1 size 14px space size 14px right parenthesis to the power of size 14px 2 size 14px space size 14px plus size 14px space size 14px left parenthesis size 14px y size 14px space size 14px minus size 14px space size 14px 2 size 14px right parenthesis to the power of size 14px 2 size 14px equals size 14px space size 14px 1

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

  3. size 14px left parenthesis size 14px x size 14px space size 14px plus size 14px space size 14px 2 size 14px space size 14px right parenthesis to the power of size 14px 2 size 14px space size 14px plus size 14px space size 14px left parenthesis size 14px y size 14px space size 14px plus size 14px space size 14px 1 size 14px right parenthesis to the power of size 14px 2 size 14px equals size 14px space size 14px 1

  4. size 14px left parenthesis size 14px x size 14px space size 14px minus size 14px space size 14px 2 size 14px space size 14px right parenthesis to the power of size 14px 2 size 14px space size 14px plus size 14px space size 14px left parenthesis size 14px y size 14px space size 14px minus size 14px space size 14px 1 size 14px right parenthesis to the power of size 14px 2 size 14px equals size 14px space size 14px 1

  5. size 14px left parenthesis size 14px x size 14px space size 14px plus size 14px space size 14px 2 size 14px space size 14px right parenthesis to the power of size 14px 2 size 14px space size 14px plus size 14px space size 14px left parenthesis size 14px y size 14px space size 14px minus size 14px space size 14px 1 size 14px right parenthesis to the power of size 14px 2 size 14px equals size 14px space size 14px 1

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M. Alfi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Jawaban

persamaan lingkaran hasil transformasi adalah E.

persamaan lingkaran hasil transformasi adalah E. begin mathsize 14px style begin bold style left parenthesis x plus 2 right parenthesis end style to the power of bold 2 bold plus begin bold style left parenthesis y minus 1 right parenthesis end style to the power of bold 2 bold equals bold 1 end style 

Pembahasan

Pemetaan terhadap Pemetaan terhadap garis Sumbu Jadi, persamaan lingkaran hasil transformasi adalah E.

Pemetaan terhadap begin mathsize 14px style 90 degree end style 

begin mathsize 14px style open parentheses x comma blank y close parentheses rightwards arrow open parentheses negative y apostrophe comma blank x apostrophe close parentheses end style

Pemetaan terhadap garis  Sumbu begin mathsize 14px style X end style

begin mathsize 14px style left parenthesis x comma y right parenthesis rightwards arrow left parenthesis x comma negative y right parenthesis left parenthesis negative y apostrophe comma x apostrophe right parenthesis rightwards arrow left parenthesis negative y comma negative x right parenthesis 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 negative y plus 1 right parenthesis squared plus left parenthesis negative x minus 2 right parenthesis squared end cell equals 1 row cell left parenthesis y minus 1 right parenthesis squared plus left parenthesis x plus 2 right parenthesis squared end cell equals 1 end table end style

Jadi, persamaan lingkaran hasil transformasi adalah E. begin mathsize 14px style begin bold style left parenthesis x plus 2 right parenthesis end style to the power of bold 2 bold plus begin bold style left parenthesis y minus 1 right parenthesis end style to the power of bold 2 bold equals bold 1 end style 

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