the graph is a verticalhorizontal shift of y1x a the graphs

the graph is a vertical/horizontal shift of y=1/x
a) the graph\'s equation can be written in the form f(x)= 1/(x+A) +B for constants A and B. Based on the graph above, find the values of A and B. Use negative values to denote subtraction.
A=
B=

b) Now take your formula for part (a) and write it as the ratio of two linear polynomials of the form, f(x)= Mx+C/ x+D for constants, M, C and D. What are the values of M, C and D?
M=?
C=?
D=?

c) complete the exact values of the coordinates of the intercepts in the graph (0,...) and (...,0)

Solution

General rules for shifting
y=1/x original equation (same rules apply for most equations f(x))

y=1/(x+a) shift to the left (a) units
y=1/(x-a) shift to the right (a) units
y=(1/x)+a shift up (a) units
y=(1/x)-a shift down (a) units