If coordinates (−2,−5) undergo a translation vector of <2,−3> in the coordinate plane, what would the resulting coordinates be?(1 point)

Question

Responses

(4,−2)
left parenthesis 4 comma negative 2 right parenthesis

(4,2)
left parenthesis 4 comma 2 right parenthesis

(0,−8)
left parenthesis 0 comma negative 8 right parenthesis

(0,−2)

Answer 1

To find the resulting coordinates after applying the translation vector <2, -3> to the point (-2, -5), you need to add the components of the translation vector to the coordinates of the point.

1. Start with the original coordinates: (-2, -5).
2. Apply the translation vector <2, -3>:
   • For the x-coordinate: -2 + 2 = 0
   • For the y-coordinate: -5 + (-3) = -5 - 3 = -8

So, the new coordinates after the translation are (0, -8).

The correct response is: (0,−8)