the graph below is a vertical horizontal asympotote

Question

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)

 

Answer 1

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

 

I wouldn't be able to solve for parts B and C without seeing the graph