Answer:
Translate figure X [tex]\left[\begin{array}{ccc}1\\0\\\end{array}\right][/tex], reflect figure X in the y-axis to give figure Y.
Step-by-step explanation:
It is very clear that shape X is being reflected in the y-axis to give shape Y. However, when reflecting shape X, it doesn't perfectly align with Y (it is off by 1 square).
So, we need to move shape X by 1 square so that when reflected in y-axis, it will align perfectly with shape Y. We can do this using a translation. We can see that if we move shape X one square to the right and no squares up or down, it will be reflected to give shape Y in the y-axis.
This leaves us with the column vector [tex]\left[\begin{array}{ccc}1\\0\\\end{array}\right][/tex]. And our final step is to write about the reflection that we identified earlier.
So the final answer is : Translate figure X [tex]\left[\begin{array}{ccc}1\\0\\\end{array}\right][/tex], reflect figure X in the y-axis to give figure Y.
