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

(4,−2)
left parenthesis 4 comma negative 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 the translation, we need to add the components of the translation vector to the original coordinates.

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

We add the x-coordinates and y-coordinates separately:
- New x-coordinate: \(-2 + 2 = 0\)
- New y-coordinate: \(-5 + (-3) = -5 - 3 = -8\)

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

The correct response is:

(0,−8)