Jawaban:

c. H''(7, -10)

Penjelasan dengan langkah-langkah:

1. Transformasi dilatasi pusat (0,0) faktor k = 1/2:

(x, y) ---> (1/2.x, 1/2. y)

2. Substitusi titik H, x = -2, y = 4 ke rumus:

H' = (x', y') = (1/2. -2, 1/2. 4)

= (-1, 2)

3. Transformasi dilatasi pusat (a, b) faktor skala k:

(x, y) ---> (k.(x - a) +a, k. (y - b) + b

4. Substitusi x = -1, y = 2, a = 1, b = -1, k = -3 ke rumus:

H'' = (x'', y'') = (-3.(-1 - 1) + 1, -3.(2 - (-1)) + (-1)

= (-3. (-2) + 1, -3.(2 + 1) -1)

= (6 + 1, -3.3 -1)

= (7, -9 - 1)

= (7, -10)