Answer:
[tex]f(x)=(x-10)^{2}[/tex]
Step-by-step explanation:
In this problem we know that
The rule of the translation is
[tex](x,y)-----> (x+10,y)[/tex]
so
The vertex in the parent function is the point [tex](0,0)[/tex]
The vertex in the new function is equal to
[tex](0,0)-----> (0+10,0)[/tex]
[tex](0,0)-----> (10,0)[/tex]
If the parent function is [tex]f(x)=x^{2}[/tex]
then
the equation of the new function is [tex]f(x)=(x-10)^{2}[/tex]
see the attached figure to better understand the problem
