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)
To find the resulting coordinates after a translation, you add the corresponding values of the translation vector to the original coordinates.
In this case, the translation vector is <2, -3>, so to find the resulting coordinates, you add 2 to the x-coordinate and subtract 3 from the y-coordinate.
Original coordinates: (-2, -5)
Translation vector: <2, -3>
Resulting coordinates:
x-coordinate: -2 + 2 = 0
y-coordinate: -5 - 3 = -8
So, the resulting coordinates would be (0, -8).
Therefore, the correct answer is: (0, −8)
To find the resulting coordinates after the translation, you need to add the components of the translation vector to the original coordinates.
Given:
Original coordinates: (-2, -5)
Translation vector: <2, -3>
Adding the components of the translation vector to the original coordinates, we get:
(-2 + 2, -5 + (-3)) = (0, -8)
Therefore, the resulting coordinates would be (0, -8).
So the correct response is: (0,−8)