Answer:
6 units left and 9 units down
Explanation:
we have that
![y=(x-5)^(2) +7](https://img.qammunity.org/2020/formulas/mathematics/middle-school/dh230s2rsu4xftg6n5cf8rkg5ksdmzykjp.png)
This is a vertical parabola open upward
The vertex is the point (5,7)
![y=(x+1)^(2) -2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/s84g5ie4bol9mcjfljytz2z6f3c3u4b330.png)
This is a vertical parabola open upward
The vertex is the point (-1,-2)
so
The transformation of
(5,7) ------> (-1,-2)
has the following rule
(x,y) -----> (x-6,y-9)
That means ----> The translation is 6 units at left and 9 units down