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 2 right parenthesis (4,−2) left parenthesis 4 comma negative 2 right parenthesis (0,−2) left parenthesis 0 comma negative 2 right parenthesis (0,−8)

Answer 1

To find the resulting coordinates after the translation, you need to add the translation vector \(<2, -3>\) to the original coordinates \((-2, -5)\).

Here's how you do it:

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 \((0, -8)\).