basic transformations

[kimbero5]

Explain how the following functions can be obtained from y=1/x^2 by basic transformations.

a. y=(1/x^2)+1

b. y=-(1/(x+1)^2

c. y=-(1/x^2)-2

i don't know what this question is asking or how to do it...help me please

 

[arthur ohlsten]

I think this is what your instructor wants.

step 1 plot 1/x^2 assymptotic to y=0 pole at x=0

a) let new Y=y+1 let X= 1/x assymptotic to y=1 pole at x=0

b) let new Y =-y let new X = x+1 assymptotic to y=-0 negativr pole at x=-1

c) let new Y =-y let new X = 1/x^2 or replace x with 1/X^2

Perhaps someone else will respond with a different interpretation of the problem
Arthur

 

[Guest]

here is how I interpreted the question and the answer I came up with

a. y=(1/x^2)+1

b. y=-(1/(x+1)^2

c. y=-(1/x^2)-2


answers:

a. vertical shift one unit up

b. reflection about the x-axis, and horizontal shift one unit to the left

c. reflection about the x-axis, and verrtical shift two units down