Question

Identify the translation of the figure with the vertices P(2,3), Q(−1,0), and R(1,−2), along the vector ⟨4,0⟩.

P ′(3, 6), Q ′(3, 0), R ′(5, −2)
P ′(6, 3), Q ′(3, 0), R ′(5, −2)
P ′(3, 6), Q ′(5, 0), R ′(−2, 5)
P ′(6, 3), Q ′(5, 2), R ′(2, −5)

Answer 1

9514 1404 393

Answer:

B. P ′(6, 3), Q ′(3, 0), R ′(5, −2)

Explanation:

The translation vector tells you that 4 is added to each x-coordinate.

(x, y) ⇒ (x, y) +(4, 0) = (x +4, y)

Then ...

P(2, 3) ⇒ P'(2+4, 3) = P'(6, 3) . . . . . matches B or D

Q(-1, 0) ⇒ Q'(-1+4, 0) = Q'(3, 0) . . . . . matches choice B

Check

R(1, -2) ⇒ R'(1 +4, -2) = R'(5, -2) . . . . . also matches choice B