Answer:
[tex]g(x)=(x-2)^2[/tex]
Step-by-step explanation:
The complete question in the attached figure
we have that
[tex]f(x)=x^2[/tex]
This is a vertical parabola open upward
The vertex represent a minimum
The vertex is the origin (0,0)
The function g(x) have the same shape of f(x)
The vertex of the function g(x) is the point (2,0)
so
The transformation of f(x) to g(x) is
f(x) ----> g(x)
(0,0) ----> (2,0)
The rule of the transformation is
(x,y) ----> (x+2,y)
That means ----> The transformation is a translation 2 units at right
therefore
The function g(x) is equal to
[tex]g(x)=(x-2)^2[/tex]
