Point b has coordinates (-2, -5). after a translation 4 units down, a reflection across the y-axis, and a translation 6 units up, what are the coordinates of the image

Steps:

Translate four down. Do y-4, which in this case is -5. So, it’d be -5-4 which is equal to -9. You should now have (-2, -9).

Translate across the y-axis. Make your x value opposite. The opposite of -2 is 2,
-(-2)=2.

Translate 6 units up. Same as before but instead of subtracting we’re adding since we are going up. Do y+6, which in your case would be -9+6. -9+6=-3.

Final (2,-3).

Hope this helps!