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)?

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

Answer 1

The function g(x) = f(x) - 5 is shifted 5 units down compared to the original function f(x) = x^2.

Step-by-step explanation:

To determine how the function g(x) = f(x) - 5 compares to the function f(x) = x^2, we need to understand the effects of the transformation. The subtraction of 5 from f(x) will shift the graph downward by 5 units, resulting in g(x). Therefore, the correct statement is that g(x) is shifted 5 units DOWN.