Question

Choose the correct equation for the graph below

Answer 1

Option e. y = 1/(x²+2x+1)

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)