Question Video: Finding the Image of a Point under a Translation Mathematics • First Year of Preparatory School

Video Transcript

Which of the following figures represents the image of point 𝐶 zero, negative four after a translation with magnitude 𝐴𝐵 in the direction of 𝐴𝐵, where 𝐴 has coordinates one, four and 𝐵 has coordinates three, negative one?

Let’s plot the points that we have been given. We can now draw in the vector 𝐴𝐵. This vector travels two units to the right and five units down. Let’s apply this transformation to point 𝐶. The image of the transformation is the point 𝐶 prime, which has coordinates two, negative nine. This corresponds to option (C).