Question

How does the graph of g(x) = (x - 1) + 5 compare to the parent function f(x) = xº?

O g(x) is shifted 1 unit to the right and 5 units up.
g(x) is shifted 5 units to the right and 1 unit up.
g(x) is shifted 1 unit to the left and 5 units up.
g(x) is shifted 5 units to the right and 1 unit down.

Answer 1

g(x) is shifted 1 unit to the right and 5 units up.

Explanation:

f(x) =,

x --------> (original function)

(x - 1) = [x - (+1)]------> shifted 1 unit in the positive x direction, i.e 1 unit to right

(x - 1) + 5 ----------> shifted 5 units in the positive y direction, i.e 5 units up.

combining all the steps.

g(x) is shifted 1 unit to the right and 5 units up.