Answer:
P' is the image of P under a translation by 4 units to the <em>right</em> and 4 units<em> up</em>
Step-by-step explanation:
1.) The original point is P(-3,1) and the image is P'(1,5)
To get from an x coordinate of -3 to an x coordinate of 1, we have to add 4 units.
<em>1-(-3)=4</em>
That means we have to translate the figure 4 units to the <em>right.</em>
2.) To get from a y coordinate of 1 to a y coordinate of 5, we have to add 4 units.
<em>5-1=4</em>
This means we have to translate the figure 4 units <em>up.</em>
3.) Therefore, a translation by 4 units to the right and 4 units up.