Question

PLEASE HELPPPPPP !!!!!!

Write the equation of the graph shown below in factored form


f(x) = (x + 1)(x − 2)(x − 3)

f(x) = (x − 1)(x + 2)(x + 3)

f(x) = (x + 1)(x + 2)(x + 3)

f(x) = (x − 1)(x − 2)(x − 3)

Answer 1

`f(x)=(x-1)(x-2)(x-3)`

Explanation:

we know that

The x-intercepts or the roots of the function are the values of x when the value of the function is equal to zero

so

In this problem

Observing the graph

The x-intercepts are the points

`(1,0),(2,0),(3,0)`

so

`x=1\\ x-1=0`

`x=2\\ x-2=0`

`x=3\\ x-3=0`

therefore

The equation of the graph in factored form is equal to

`f(x)=(x-1)(x-2)(x-3)`