we have
f(x)=x^2
Is a vertical parabola open upward
the vertex is a minimum
The vertex is the point (0,0)
g(x)=(x-2)^2-7
Is a vertical parabola open upward
the vertex is a minimum
The vertex is the point (2,-7)
the transformation of f(x) to g(x) has the following rule
(0,0) ------> (2, -7)
(x,y) ------> (x+2,y-7)
The translation is 2 units at right and 7 units down
using a graphing tool
see the attached figure
please wait a minute
