Answer:
Step-by-step explanation:
The given functions are
[tex]y=(x-5)^{2} +7\\y=(x+1)^{2}-2[/tex]
Basically, these functions described the function before the translation and after the translation.
You can observe that the number with the x-variable changed from 5 to -1, the function was initially at x=5, and changed to x=-1. So, the function horizontally moved 6 units to the left.
Obseve that the constant term changed from 7 to -2, this means the function was intially at y=7, and changed to y=-2. So, the function vertically moved 9 units downwards.
Therefore, the phrase that best describes the translation is "it moved 6 units leftwards and 9 units downwards".
