Question

The function f(x) = x^2 is transformed to create the function g(x) = f(x - 5). What statement is true comparing f(x) and g(x)?

O 1) g(x) is shifted 5 units to the LEFT
O 2) g(x) is shifted 5 units to the RIGHT
O 3) g(x) is shifted 5 units UP
O 4) g(x) is shifted 5 units DOWN

Answer 1

The function g(x) = f(x - 5) is obtained by shifting the function f(x) = x^2 5 units to the RIGHT.

Step-by-step explanation:

The function g(x) = f(x - 5) is obtained by shifting the function f(x) = x^2 5 units to the RIGHT. When we substitute x - 5 in place of x in f(x), the graph of f(x) is shifted 5 units to the right. This means that all the points on the graph of f(x) are moved horizontally 5 units to the right to obtain the graph of g(x).