Answer:
B. The graph of g(x) is the graph of f(x) shifted to the left '6' units
Step-by-step explanation:
Type of transformation                  change to co-ordinate point
Vertical translation up 'd' units              (x ,y) changes to (x , y+d)
Vertical translation down 'd' units           (x ,y) changes to (x , y-d)
Horizontal translation left 'c' units           (x ,y) changes to (x-c , y)
Horizontal translation Right 'c' units          (x ,y) changes to (x+c , y)
Given f(x) translation left 'c' units            f(x) changes to f(x-c)
Given f(x) translation right 'c' units           f(x) changes to f(x+c)
Given  Function f(x) = 10 ˣ
The given graph  f(x) translation left '6' units
g(x) = f(x -6) = [tex]10^{x-6}[/tex]
Final answer:-
The graph of g(x) is the graph of f(x) shifted to the left '6' units
g(x) = f(x -6) = [tex]10^{x-6}[/tex]
Answer:
D. The graph of g(x) is the graph of f(x) shifted to the right 6 units.
Step-by-step explanation:
Use GeoGebra to graph those two function
f(x) = 10^x
g(x) = 10^(x-6)
