Answer:
[tex]f(x)=x^2[/tex]
[tex]g(x)=(x-1)^2+2[/tex]
The transformation of f(x) to g(x) is:
translation of vector [tex]\left(\begin{array}{ccc}1\\2\end{array}\right)[/tex]
(shift of 1 unit to the right, and 2 units up)
The vertex of f(x) is (0, 0)
Therefore, the vertex of g(x) = (1, 2)
A point on f(x) is (-1, 1)
The corresponding point on g(x) = (0, 3)
