the graph is a vertical/horizontal shift of y=1/x a) the graph\'s equation can b

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)

Explanation / Answer

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

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.