Answer:
[tex](6,-3)[/tex]
Step-by-step explanation:
The given expression is
[tex]y=(x+1)^{2} +2[/tex]
This expression represents a parabola which vertex is at [tex](-1,2)[/tex].
Now, if we shift this parabola 7 units to the right and 5 units down, then the expression would be
[tex]y=(x-6)^{2} -3[/tex]
Because, units the to the right must subtract, and units down must also subtract.
Therefore, the new expression represents a parabola which vertex is at [tex](6,-3)[/tex]
