rational functions

Question

1. Explain the transformation of the graph above from the parent function, f(x) = 1/x. Make sure you include an explanation of your thought process. Hint: Check the graph carefully for a stretch or shrink as one of the transformations. (15 points)

Answer 1

f(x)=1/x original function

f_1(x)=2+1/x will shift your original function up 2 units

f_2(x)=2+1/(x+1) will shift f_1 function to the left one unit which is the function on your graph