Answer:
P ′(−10, −2), L ′(−5, −4), K ′(−15, 11)
Step-by-step explanation:
The translation vector, ⟨−6,3⟩, can be used to derive a rule for the translation of the coordinates: (x,y)→(x−6,y+3).
Apply the rule to translate each of the three preimage vertices to the image vertices.
P(−4,−5)→P'(−10,−2)
L(1,−7)→L'(−5,−4)
K(−9,8)→K'(−15,11)
Therefore, P'(−10,−2), L'(−5,−4), N'(−15,11) is the translation of the figure with the vertices P(−4,−5), L(1,−7), and K(−9,8), along the vector ⟨−6,3⟩.
