Answer:
Reflection across y = - 1
Explanation:
See the attached table. The coordinates for all points are entered. We can see that the reflected points all have identical values of x. The values of y are all different, so we can conclude that the reflection takes place only on the y axis. Looking at points T' and T, we see the y value has changed y -4. The point that is half the distance distance between (4,1) and (4,-3) is (4, -1). The point is reflected across the y = -1 axis. If we apply the same difference (-4) for all the points, the values match those shown in the figure (see table). The table uses the relationship f(x) = 2a - y to calculate the new y coordinate for a reflection of a, in this case y = -1.