What is the component form of the vector that maps xf to x’f’ ?

Step-by-step explanation:

Look at the picture.

Read it from the graph

Calculate it:

Explanation:

The point X is at (5,4) while X' is at (-1, -1)

To move from X to X', we translate 6 units to the left and 5 units down.

So the rule is (x,y) --> (x-6, y-5) which can be written as the translation vector <-6, -5>, as its a shorter notation format.

The same idea is applied to go from F to F'

point F is at (1,2). Let's apply the translation rule to shift (1,2) 6 units to the left and we get to (-5, 2). Now shift 5 units down and we arrive at (-5, -3) which is where F' is located. This helps confirm we have the proper vector.

step-by-step explanation: