Determine the equation of the graph shown, in factored form.

Question

asked Jun 18, 2023 101k views

1 Answer

Mikeysee · Answer 1 · 2023-06-23T07:20:07+0000

To solve the given problem we will use the fact that the number of times the graph cuts the axis, that will be the degree of the function.

Given data:

We can see from the graph we can see that y- intercept is

and x- intercept are

$(-1,0)\text{ and (3,0)}$

Since the x - intercepts are

$(-1,0)\text{ and (3,0)}$

So, equation will have the form

$y=(x+1)(x-3)\ldots(1)$

But this equation does not satisfy the point

As on substituting x=0 in equation 1 we get

So, we should multiply the equatiojn (1) with some constant to satisfy the given condition.

So, the equation will be

$y=(-9)/(12)(x+1)(x-3)\ldots(2)$

So, the required equation is