Question

Tolong bantu ya Transformasi kelas XI nomor 2 dan 3

Answer 1

Verified answer

Jawab

(2a)

T(-7, -3)
A' (-2, 4)

A' = T + A
A = A' - T
A(x,y) = {(-2 -(-7)) , (4-(-3)} = {(-2+7) , (4 +3)}
A(x,y) = (5, 7)

(2b)
A(5,7)
T(3,2)
A' = A + T
A'(x,y) = {(5+3), (7+2)}
A'(x,y) = {8, 9}

(3a)
T(-3,4)
(x' , y' ) = (x, y) + T(-3, 4)
x' = x - 3 → x = x' + 3
y' = y +4 → y = y' - 4

2x + 5y - 3 = 0 → T(-3,4)
2(x'+3) + 5(y'-4) - 3 = 0
2x + 6 + 5y - 20 - 3 = 0
2x + 5y  - 17= 0

(3b)
y  = x² - 3x + 2
(y' -4) = (x'+3)² -3(x'+3) + 2
y - 4 = x² +6x + 9 - 3x - 9 + 2
y - 4 = x² + 3x + 2
y = x² + 3x + 6