Question

write the coordinates of the vertices after a translation 6 units right and 1 unit up.

Explanation:

Step1: Identify original coordinates of Q

Assume the original coordinates of point Q are $(x_Q,y_Q)$. From the graph, if we assume $Q(-8, - 7)$.

Step2: Apply translation rule

The translation rule for moving 6 units right and 1 unit up is $(x,y)\to(x + 6,y+1)$. For point Q with $x=-8$ and $y = - 7$, the new x - coordinate is $x'=-8 + 6=-2$, and the new y - coordinate is $y'=-7 + 1=-6$.

Answer:

$Q'(-2,-6)$