Question

the coordinates of point c are (4, 2). determine the coordinates of c after a translation along the vector <-2, 3>.* (10 points) (2, 5) (2, -5) (-2, -5) (-2, 5)

Explanation:

Step1: Translate the x - coordinate

For a translation along the vector \(\langle - 2,3
angle\), we add the x - component of the vector to the x - coordinate of the point.
The x - coordinate of point \(C\) is \(4\). After translation, \(x'=4+( - 2)\)
\(x' = 2\)

Step2: Translate the y - coordinate

We add the y - component of the vector to the y - coordinate of the point.
The y - coordinate of point \(C\) is \(2\). After translation, \(y'=2 + 3\)
\(y'=5\)

Answer:

\((2,5)\)