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

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

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

(−2,−1)

Answer 1

To find the new coordinates of point \( N' \) after the translation of point \( N(0, -6) \), we need to apply the given transformations:

1. Translate up 5 units: This means we add 5 to the y-coordinate.
2. Translate left 2 units: This means we subtract 2 from the x-coordinate.

Starting with point \( N(0, -6) \):

1. For the y-coordinate: \[-6 + 5 = -1\]

2. For the x-coordinate: \[0 - 2 = -2\]

Thus, the new coordinates for point \( N' \) are \((-2, -1)\).

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