Question

the coordinates of point c are (4, 2). suppose a second translation is applied so that c is (1, -3). what is the translation vector? * (10 points) < -3, 5 > < -3, -5 > < 3, -5 > < 3, 5 >

Explanation:

Step1: Calculate the change in x - coordinate

The formula for the change in \(x\) - coordinate \(\Delta x=x_{new}-x_{old}\). Given \(x_{old} = 4\) and \(x_{new}=1\), then \(\Delta x=1 - 4=-3\).

Step2: Calculate the change in y - coordinate

The formula for the change in \(y\) - coordinate \(\Delta y=y_{new}-y_{old}\). Given \(y_{old} = 2\) and \(y_{new}=-3\), then \(\Delta y=-3 - 2=-5\).

The translation vector is \(\langle\Delta x,\Delta y
angle\).

Answer:

\(\langle - 3,-5
angle\) (corresponds to the option \(\langle - 3,-5
angle\))