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)?

A)g(x) is shifted 5 units to the LEFT.
B) g(x) is shifted 5 units to the RIGHT.
C) g(x) is shifted 5 units UP.
D) g(x) is shifted 5 units DOWN.

Answer 1

The function g(x) = f(x+5) shifts the graph 5 units to the LEFT compared to f(x).

Step-by-step explanation:

When the function f(x) = x^2 is transformed to create the function g(x) = f(x+5), it means that the graph of g(x) is shifted 5 units to the LEFT compared to f(x). This is because the transformation involves adding 5 to the input (x) of f(x), which shifts the graph horizontally by 5 units in the opposite direction.