Question

PLLLLLLLLLLLLLZ HELP ANSWER IF YOU KNOW

Use the graph of f to describe the transformation that results in the graph of g.

f(x) = (1/6)^x ; g(x) (1/6)^x-1 +5



g(x) is the graph of f(x) translated 1 unit(s) to the right and 5 unit(s) up.


g(x) is the graph of f(x) translated 5 unit(s) to the left and 1 unit(s) up.(incorrect)


g(x) is the graph of f(x) translated 5 unit(s) to the right and 1 unit(s) up.


g(x) is the graph of f(x) translated 1 unit(s) to the left and 5 unit(s) up.

Answer 1

g(x) is the graph of f(x) translated 1 unit(s) to the right and 5 unit(s) up

Explanation:

Replacing x with x-a in a function translates the graph "a" units to the right. Here, the x in f(x) is (x-1) in g(x). That means the graph is translated 1 unit to the right.

Adding b to a function value translates its graph "b" units up. Here, 5 has been added to f(x) so the graph has been translated 5 units up.

g(x) is the graph of f(x) translated 1 unit(s) to the right and 5 unit(s) up