Triangle NMO is drawn with vertices N(−4, −2), M(−1, −1), O(−4 , −5). Determine the image coordinates of N′M′O′ if the preimage is translated 3 units to the left.

Question

N′(−7, −2), M′(−4, −1), O′(−7, −5)
N′(−4, −5), M′(−1, −4), O′(−4, −8)
N′(−4, 1), M′(−1, 2), O′(−4, −2)
N′(−1, −2), M′(2, −1), O′ (−1, −5)

Answer 1

To translate a point 3 units to the left, you subtract 3 from the x-coordinate of each vertex.

Given the vertices of triangle NMO:

• N(−4, −2)
• M(−1, −1)
• O(−4, −5)

Let's perform the translation:

1. For point N: \[ N' = (-4 - 3, -2) = (-7, -2) \]

2. For point M: \[ M' = (-1 - 3, -1) = (-4, -1) \]

3. For point O: \[ O' = (-4 - 3, -5) = (-7, -5) \]

Thus, the image coordinates after the translation are:

• N′(−7, −2)
• M′(−4, −1)
• O′(−7, −5)

So the correct choice is: N′(−7, −2), M′(−4, −1), O′(−7, −5).