Answer:
The line of the symmetry x=7
The vertex (7,-1)
Step-by-step explanation:
The graph of the function [tex]g(x)=(x-7)^2-1[/tex] is a parabola (see attached diagram for details)
Consider the parent function [tex]f(x)=x^2.[/tex] To get the graph of the function g(x), we need to translate the graph of the function f(x) seven units to the right and 1 unit down.
The line of the symmetry of the parent function is x=0 and the vertex is at (0,0). After the translation, the line of the symmetry becomes x=7 and the vertex (7,-1).
