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Triangle MNO is translated up 5 units and left 2 units. Point N is located at (0, −6) . What are the coordinates of N′ ?(1 point) Responses (2,−1) left parenthesis 2 comma negative 1 right parenthesis (−2,−1) left parenthesis negative 2 comma negative 1 right parenthesis (5,−8) left parenthesis 5 comma negative 8 right parenthesis (−2,−11)

1 answer

To find the coordinates of point \( N' \) after the translation, we start with point \( N \) at the coordinates \( (0, -6) \).

  1. Translate Up 5 Units:

    • The y-coordinate changes from \(-6\) to \(-6 + 5 = -1\).
    • Thus, after this translation, the coordinates are \( (0, -1) \).

  2. Translate Left 2 Units:

    • The x-coordinate changes from \(0\) to \(0 - 2 = -2\).
    • Thus, after this translation, the coordinates of point \( N' \) become \( (-2, -1) \).

So, the final coordinates of \( N' \) are \( (-2, -1) \).

The correct response is \( (-2, -1) \).