Observe the points from given graph as follows :

The graph  is straight line graph and its each x - coordinate equals the corresponding y - coordinate and the graph is always increasing and the graph contain origin point and the graph has a slope of one and its y - intercept (0, 0).

Thus, the parent function is .

The given graph is a vertical shrink of the parent function of .

Thus, the equation for the graph is .

The equation of the graph is .