Question

Translate the following points using the rule (x, y) → (x - 2, y + 5).B(-1,6)G(0,0)

Answer 1

The rule for translation of point is (x, y) → (x - 2, y + 5).

Determine the coordinates of the points after translation.

For point B:

`\begin{gathered} B^(\prime)(x,y)=B^(\prime)(-1-2,6+5) \\ =B^(\prime)(-3,11) \end{gathered}`

For point G:

`\begin{gathered} G^(\prime)(x,y)=G^(\prime)(0-2,0+5) \\ =G^(\prime)(-2,5) \end{gathered}`

Thus points after translation are,

`B(-1,6)\rightarrow B^(\prime)(-3,11)`
`G(0,0)\rightarrow G^(\prime)(-2,5)`