Which line represents the line of reflection in this diagram?

f
g
h
i

 The correct option is (C) h.

Step-by-step explanation:  We are given to select the correct line that represents the line of reflection in the given diagram.

We know that

A line of reflection is a line such that each point of the original figure and the image are equidistant from it.

In other words, we can say that the line of reflection is equidistant from the original figure and the image.

Now, from the figure, we can see that the line g is close on the figure on the left than that in the right. So, line g cannot be the line of reflection.

Line i is close the right figure on the upper half and it is close to the left figure on the lower half. So, line i also cannot be the line of reflection.

Line f cannot be the line of reflection because the shape of the figure is not same in both the sides of f.

The only line that is equidistant from both the figures is line h.

Thus, the line of reflection is line h.

Option (C) is CORRECT.

f(x) = x^3 -2x^2 -3x

x( x^2 -2x-3)

x( x^2 +x -3x -3)

x( x(x+1) -3(x+1))

x( x-3)( x+1)

so zeroes are 0, 3,-1

its (2) option