Materi : Translasi Geometri
P( x,y ) => T[ a,b ] => P'( x+a, y+b )
_________________________/
T[ 2,-3 ]
x' = x + 2 [ x = x' - 2 ]
y' = y - 3 [ y = y' + 3 ]
---
( x - 2 )² + ( y + 4 )² = 16
( x' - 4 )² + ( y' + 7 )² = 16
x'² - 8x' + 16 + y'² + 14y' + 49 = 16
x'² + y'² - 8x' + 14y' + 49 = 0
T[ -2,4 ]
x' = x - 2 [ x = x' + 2 ]
y' = y + 4 [ y = y' - 4 ]
( x' )² + ( y' )² = 16
x'² + y'² = 16
T[ 3,5 ]
x' = x + 3 [ x = x' - 3 ]
y' = y + 5 [ y = y' - 5 ]
( x' - 5 )² + ( y' - 1 )² = 16
x'² + y'² - 10x' - 2y' + 10 = 0
Semoga bisa membantu
[tex] \boxed{ \colorbox{darkblue}{ \sf{ \color{lightblue}{ answered\:by\: BLUEBRAXGEOMETRY}}}} [/tex]
x'=x+a
y'=y+b
a.
(x-2)²+(y+4)²=16
Translasin(2,-3) maka bentuknya
x=x'-2
y=y'+3
(x'-4)²+(y'+7)²=16
b.
Translasi(-2,4) maka bentuknya
x=x'+2
y=y'-4
(x')²+(y')²=16
x'²+y'²=16
c.
Translasi(3,5) maka bentuknya
x=x'-3
y=y'-5
(x'-5)²+(y'-1)²=16
Semoga bermanfaat
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Verified answer
Materi : Translasi Geometri
P( x,y ) => T[ a,b ] => P'( x+a, y+b )
_________________________/
Bagian A
T[ 2,-3 ]
x' = x + 2 [ x = x' - 2 ]
y' = y - 3 [ y = y' + 3 ]
---
( x - 2 )² + ( y + 4 )² = 16
( x' - 4 )² + ( y' + 7 )² = 16
x'² - 8x' + 16 + y'² + 14y' + 49 = 16
x'² + y'² - 8x' + 14y' + 49 = 0
Bagian B
T[ -2,4 ]
x' = x - 2 [ x = x' + 2 ]
y' = y + 4 [ y = y' - 4 ]
---
( x - 2 )² + ( y + 4 )² = 16
( x' )² + ( y' )² = 16
x'² + y'² = 16
Bagian C
T[ 3,5 ]
x' = x + 3 [ x = x' - 3 ]
y' = y + 5 [ y = y' - 5 ]
---
( x - 2 )² + ( y + 4 )² = 16
( x' - 5 )² + ( y' - 1 )² = 16
x'² + y'² - 10x' - 2y' + 10 = 0
Semoga bisa membantu
[tex] \boxed{ \colorbox{darkblue}{ \sf{ \color{lightblue}{ answered\:by\: BLUEBRAXGEOMETRY}}}} [/tex]
Jawaban:
x'=x+a
y'=y+b
a.
(x-2)²+(y+4)²=16
Translasin(2,-3) maka bentuknya
x=x'-2
y=y'+3
(x'-4)²+(y'+7)²=16
b.
(x-2)²+(y+4)²=16
Translasi(-2,4) maka bentuknya
x=x'+2
y=y'-4
(x')²+(y')²=16
x'²+y'²=16
c.
(x-2)²+(y+4)²=16
Translasi(3,5) maka bentuknya
x=x'-3
y=y'-5
(x'-5)²+(y'-1)²=16
Semoga bermanfaat