Answer:
Option e. y = 1/(x²+2x+1)
Step-by-step explanation:
Using the concept of y-intercept
y-intercept is the value of y when x = 0
From the the graph: at x = 0 ⇒ y = 1
For option a) at x = 0 ⇒ y = 1/(0-2) = -1/2
For option b) at x = 0 ⇒ y = 2/(0-4) = -1/2
For option c) at x = 0 ⇒ y = 3/(0+2) = 3/2
For option d) at x = 0 ⇒ y = -3/(0+4) = -3/4
For option e) at x = 0 ⇒ y = 1/(0+0+1) = 1
By comparing the y-intercepts of the graph and the options:
So, the answer is option e. y = 1/(x²+2x+1)
