ΔABC has vertices A(−5, −2), B(−1, 4), and C(0, −1). Identify the coordinates of the image ΔA′B′C′ for translation along the vector〈2, −1〉.

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step-by-step explanation:

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: