Answer:
(a) N′(−7, −2), M′(−4, −1), O′(−7, −5)
Explanation:
You want the coordinates of ∆NMO after translation 3 units left, given N(−4, −2), M(−1, −1), O(−4 , −5).
Translation
Translation by 'a' units right and 'b' units up affects the coordinates like this:
(x, y) ⇒ (x +a, y +b) . . . . . translation by (a, b)
Application
Here, the coordinates are translated 3 units left, so a=-3 and b=0. The transformation is ...
(x, y) ⇒ (x -3, y) . . . . . . . translation left 3 units
N(-4, -2) ⇒N'(-7, -2)
M(-1, -1) ⇒ M'(-4, -1)
O(-4, -5) ⇒ O'(-7, -5)
The translated coordinates match choice A.
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