Answer:
Option 2: y = ⅓ x
Step-by-step explanation:
A compression is the transformation of a parent graph wherein there is a decrease in the distance between the corresponding points of a graph and a line.
A vertical compression of the parent graph is represented by y = a·f(x), where the parent graph is compressed by a factor of a, given that 0 < a < 1.
Out of all the given options, the equation in Option 2: y = ⅓ x, represents the vertical compression of the parent graph by a factor of ⅓, as the value of a is between 0 and 1. This implies that the y-coordinate of each point on the graph of y = ⅓ x is one-third the y-coordinate of the corresponding point on the graph of the parent function.
Therefore, the correct answer is Option 2: y = ⅓ x.
