If coordinates (−2,−5) undergo a translation vector of <2,−3> in the coordinate plane, what would the resulting coordinates be?(1 point) Responses (4,2) left parenthesis 4 comma 2 right parenthesis (0,−8) left parenthesis 0 comma negative 8 right parenthesis (0,−2) left parenthesis 0 comma negative 2 right parenthesis (4,−2)

Answer 1

To find the resulting coordinates after applying the translation vector to the original coordinates, you can simply add the components of the translation vector to the original coordinates.

The original coordinates are \((-2, -5)\), and the translation vector is \(\langle 2, -3 \rangle\).

1. Add the x-coordinates: \(-2 + 2 = 0\)
2. Add the y-coordinates: \(-5 + (-3) = -5 - 3 = -8\)

So the resulting coordinates after the translation will be \((0, -8)\).

The correct answer is \((0, -8)\).