The graph of y = |x| is shifted left 48 and vertically compressed by a factor of 3/7
y-k = f(x-h) shifts the graph of f(x) right by h and up by k.
y/a = f(x/b) scales by a factor of a vertically and b horizontally.
So, I assume you want the shifted graph given by
y/(7/3) = |x+48|
or
y = 3/7 |x+48|
To shift the graph of y = |x| left 48 units, we need to replace x with (x + 48) in the equation.
So the new equation becomes y = |x + 48|.
To vertically compress the graph by a factor of 3/7, we need to multiply the equation by 3/7.
Therefore, the final equation is y = (3/7)|x + 48|.
This equation represents the graph that has been shifted left 48 units and vertically compressed by a factor of 3/7.