### Instruction: Circle $T$ has its center at point $T(-2,6)$. Circle $T$ is reflected across the $y$-axis and then translated 8 units down. What are the coordinates of the image of the center of circle $T$?### Response: So the center of the circle is at $(-2,6)$.
And if we reflect that across the y-axis, we get $(2,6)$.
That's correct. Now we need to translate that point 8 units down.
So the final point is $(2,-2)$.