Question

find the coordinates of the image given the coordinates of the preimage and the translation

Answer 1

The transformation is a translation of 7 units in the x-axis and (-1) in the y-axis.

We can write this transformation for a point P=(x,y) as:

$P=(x,y)\longrightarrow P^{\prime}=(x+7,y-1)$

Then, if we apply the transformation to J, F and N we will get:

$J=(-3,1)\longrightarrow J^{\prime}=(-3+7,1-1)=(4,0)$$F(-2,3)\longrightarrow F^{\prime}=(-2+7,3-1)=(5,2)$$N=(-2,0)\longrightarrow N^{\prime}=(-2+7,0-1)=(5,-1)$

The transformed points are J'=(4,0), F'=(5,2) and N'=(5,-1).