Consider the relationship between y = f(x)and y = -f ( x)

Question

This type of transformation is called a_______specifically it is a reflection over the_____access on a graph this means that every point on the graph of y= -f( x )is

Answer 1

This type of transformation is called a reflection, specifically it is a reflection over the x-axis on a graph. This means that every point on the graph of \( y = -f(x) \) is the vertical opposite (in sign) of the corresponding point on the graph of \( y = f(x) \). For example, if a point on the graph of \( y = f(x) \) is \( (a, b) \), then the corresponding point on the graph of \( y = -f(x) \) is \( (a, -b) \).