Question

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

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

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

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

(4,−2)

Answer 1

To find the resulting coordinates after applying the translation vector <2, -3> to the initial coordinates (-2, -5), we add the components of the translation vector to the corresponding components of the initial coordinates.

Starting coordinates: (-2, -5)
Translation vector: <2, -3>

Now we perform the addition:

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

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

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

The correct answer is:
(0,−8)