Question

Name the image of (4, - 2) after being translated along the vector < -2, -5 >.

Answer 1

To translate a point given its coordinate and a vector to translate by, we can simply add each value of the vector to the corresponding x and y coordinates of the point, so:

$(4,-2)\longrightarrow(4-2,-2-5)=(2,-7)$

So, the image of the translations is (2, -7).