Question

Given the point A(-2,0)
If T<3,2> A = B, then B ia the point

Answer 1

Point B is (1, 2)

Explanation:

Let us revise the rule of the translations

• If the point (x, y) translated horizontally to the right by h units then its image is (x + h, y) ⇒ T (x, y) → (x + h, y)

• If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)

• If the point (x, y) translated vertically up by k units then its image is (x, y + k)→ (x + h, y) ⇒ T (x, y) → (x, y + k)

• If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)

∵ Point A = (-2, 0)

∵ T (3, 2) → A = B

→ By using the 1st and 3rd rules above, A is translated 3 units right and 2

units up to get B

∴ T (x, y) → (x + 3, y + 2)

∵ A = (x, y)

∵ x = -2 and y = 0

∴ B = (-2 + 3, 0 + 2)

∴ B = (1, 2)

∴ Point B is (1, 2)