A student graphed f(x)=x and g(x)=⅓f(x)-1 on the same coordinate grid. Which statement describes how the graphs of f and g are related?

A student graphed f(x)=x and g(x)=⅓f(x)-1 on the same coordinate grid. Which statement describes how the graphs of f and g are related?

The graph of g is flatter than the graph of f and the y-intercept of g is one unit below that of f.

The graph of g is steeper than the graph of f and the y-intercept of g is one unit above that of f.

The graph of g is steeper than the graph of f and the y-intercept of g is one unit below that of f.

The graph of g is flatter than the graph of f and the y-intercept of g is one unit above that of f.

The correct statement is: The graph of g is flatter than the graph of f and the y-intercept of g is one unit below that of f.