Question

If a translation of T–3, –8(x, y) is applied to square ABCD, what is the y-coordinate of B'?

The y-coordinate of is ______

Answer 1

A translation of
`T_((-3,-8))(x, y)` follows the rule:

`(x,y)\mapsto (x-3,y-8).`

From the diagram you can see that point B has coordinates (1,2). According to the previous rule this point will transform in point B' wit hcoordinates (-2,-6), because

`(1,2)\mapsto (1-3,2-8)=(-2,-6).`

Answer: the y-coordinate is -6.