NSWER
Step-by-step explanation
In a isometry the distances between points are conserved, so the image of segment PQ has to have the same length as segment PQ.
When we have a translation defined by a vector the x-coordinate of the vector tells the horizontal translation and the y-coordinate the vertical translation.
For this problem, if the vector is <3, 5>, we have to translate each point 3 units to the right and 5 units up.
![Q(-2,-2)\to Q^(\prime)(-2+3,-2+5)=(1,3)](https://img.qammunity.org/2023/formulas/mathematics/college/rwpuekg634uq8q1m8eoqfftrtxinhpabdp.png)
![P(-4,-4)\to P^(\prime)(-4+3,-4+5)=(-1,1)](https://img.qammunity.org/2023/formulas/mathematics/college/ur0xktlj90uiildwza47t1ddz3rd5712mf.png)
The endpoints of the image segment are Q'(1, 3) and P'(-1, 1)