Consider the function f(x)= 10^x and the function g(x), which is shown below. How will the graph of g(x) differ from the graph of f(x)?

g(x)= f(x - 6) = 10^(x-6)

A. The graph of g(x) is the graph of f(x) shifted 6 units elown.
B. The graph of g(x) is the graph of f(x) shifted to the left 6 units.
C. The graph of g(x) is the graph of f(x) shifted 6 units up.
D. The graph of g(x) is the graph of f(x) shifted to the right 6 units.

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) =

Final answer:-

The graph of g(x) is the graph of f(x) shifted to the left '6' units

g(x) = f(x -6) =

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.