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

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

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

(0,−2)
left parenthesis 0 comma negative 2 right parenthesis

Answer 1

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

The translation vector <2,−3> means you add 2 to the x-coordinate and -3 to the y-coordinate:

1. For the x-coordinate: \(-2 + 2 = 0\)

2. For the y-coordinate: \(-5 - 3 = -8\)

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

The correct answer is:

(0,−8)