Answer:
The translation is 4 units left and 8 units down
Step-by-step explanation:
we have
[tex]y=(x-2)^{2}+5[/tex]
This is a vertical parabola open upward with a vertex at (2,5)
[tex]y=(x+2)^{2}-3[/tex]
This is a vertical parabola open upward with a vertex at (-2,-3)
so
The rule of the translation of
(2,5) -----> (-2,-3)
is equal to
(x,y) ------> (x-4,y-8)
That means-----> The translation is 4 units left and 8 units down
