Let y fx be the function whose graph is given in the upperl

Let y = f(x) be the function whose graph is given in the upper-left in the figure. Find formulas, in terms of f(x), for the horizontal and vertical shifts of the graph of f(x) in parts (a)-(c) and determine the equation of each asymptote. Note only vertical and horizontal shifts have been applied to the graph of f (no reflections, compressions, or stretches), so your formulas should be of the form y =f(x - h) + k where h and k are constants you determine from each graph. Using shifts of f(x), graph A can be written as y = with an asymptote at y = Using shifts of f(x), graph B can be written as y = with an asymptote at y = Using shifts of f(x), graph C can be written as y = with an asymptote at y =

Solution

graph of y=f(x) is given so that goes into first box.

and there is a horizontal asymptote at y=5 as per numbers given by you in comment box.

------------------------------------

Now graph shifts 2 units down so equaiton is y=f(x)-2

horizontal asymptote will also shift 2 unit down so new asymptote is y=3

------------------------------------

then graph shifts 1 unit left so equation is y=f(x+1)-2

horizontal asymptote remains unchanged so it is still y=3