Which of the graphs below represent the function f(x) = − x3 + 4x2 − x + 3? You may sketch the graph to compare.

graph going through x axis at 3.5, Passes through y axis at 0.
graph going through x axis at negative 4.5. Passes through y axis at 0.
graph going through x axis at negative 4.5. Passes through y axis at 3.
graph going through x axis just before 4. Passes through y axis at 3.

Question

Which of the graphs below represent the function f(x) = − x3 + 4x2 − x + 3? You may sketch the graph to compare.

 graph going through x axis at 3.5, Passes through y axis at 0.
 graph going through x axis at negative 4.5. Passes through y axis at 0.
 graph going through x axis at negative 4.5. Passes through y axis at 3.
 graph going through x axis just before 4. Passes through y axis at 3.

princesssleelee · Answer

attachment

rhondasommer · Answer

graph should go through the x axis at 4...im pretty sure... but do you know why?

rhondasommer · Answer

$$(x-4) (x^2 - 6) $$
if you factored the equation it would equal this

rhondasommer · Answer

equal each side to 0

princesssleelee · Answer

You're thinking letter choice "D"?

rhondasommer · Answer

$$x-4 = 0$$ equation
$$x = 4$$ when you add 4 to both sides

rhondasommer · Answer

yes

princesssleelee · Answer

Alrighty, i willl let you know if youre correct :) thank you

princesssleelee · Answer

Yes! it was correct!! :) thank you so very much!

rhondasommer · Answer

no problem :)

rhondasommer · Answer

do you know why it was correct?

princesssleelee · Answer

Yes i figured it out :) once i get the answer, i work my way backwards, but you gave great pointers for my understanding!

rhondasommer · Answer

no problem :)