Question

Write the equation of the graph shown below in factored form. (6 points)

a graph that starts at the top left and continues down through the x axis at one to a minimum around y equals negative zero point six and goes up to cross the x axis two to a maximum around y equals zero point two and and then goes back down to a touch the x axis at three and then goes back up to the top right.
f(x) = (x − 3)2(x + 2)(x − 1)
f(x) = (x + 3)2(x − 2)(x + 1)
f(x) = (x + 3)2(x + 2)(x + 1)
f(x) = (x − 3)2(x − 2)(x − 1)

Answer 1

As the graph just touches the x axis at 3 there is a doiuble root of 3 so the equation contains (x -3)2.
It also contains (x-1) and (x-2) as 1 and 2 are also roots .
So it’s the last option.