Question

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,−11)
left parenthesis negative 2 comma negative 11 right parenthesis

(5,−8)
left parenthesis 5 comma negative 8 right parenthesis

(2,−1)
left parenthesis 2 comma negative 1 right parenthesis

(−2,−1)

Answer 1

To find the new coordinates of point \( N' \) after translating point \( N \) at (0, -6) up 5 units and left 2 units, follow these steps:

1. **Translate up 5 units**: This means adding 5 to the y-coordinate:
\[
-6 + 5 = -1
\]
This gives the new y-coordinate as -1.

2. **Translate left 2 units**: This means subtracting 2 from the x-coordinate:
\[
0 - 2 = -2
\]
This gives the new x-coordinate as -2.

Thus, the new coordinates of \( N' \) are:
\[
(-2, -1)
\]

The correct response is:
\[
(-2, -1)
\]