Question

Select the correct answer. If f(x)=1/2, which equation describes the graphed function? A. y = f(x + 2) + 1 B. y = f(x − 2) + 1 C. y = f(x + 1) − 2 D. y = f(x + 1) + 2

Answer 1

In the original function f(x), the value of y is always 1/2, regardless of the value of x. This means the graph is a horizontal line located at y = 1/2.

Analyzing the answer choices, we can see that option C, y = f(x + 1) - 2, best represents the given graphed function. Shifting the function f(x) = 1/2 one unit to the left gives us f(x + 1), and subtracting 2 from the function vertically moves the line downward. Thus, option C correctly represents the graphed function.