Triangle MNO

Question

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 negative 2 comma negative 1 right parenthesis

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

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

(2,−1)

Answer 1

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

1. Translate up 5 units:

   • This affects the y-coordinate.
   • New y-coordinate = -6 + 5 = -1.

2. Translate left 2 units:

   • This affects the x-coordinate.
   • New x-coordinate = 0 - 2 = -2.

Now putting these together, the new coordinates for point \( N' \) after the translation will be: \[ N' = (-2, -1) \]

Therefore, the correct response is: \((-2, -1)\)