Consider the relationship between y equals f of x and y equals negative f of x

Question

What is the type of function transformation called

Answer 1

The relationship between \( y = f(x) \) and \( y = -f(x) \) represents a reflection of the function \( f(x) \) across the x-axis. This transformation flips the function over the horizontal axis, resulting in a graph where all the y-values are negated while the x-values remain the same. Thus, the transformation is specifically known as a vertical reflection.