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(03.04 LC) Write the equation of the graph shown below in factored form.


the graph starts at the bottom left and continues up through the x axis at negative four to a maximum around y equals three and goes back down through the x axis at negative three to a minimum around y equals negative eleven and back up through the x axis at negative one

A. f(x) = (x + 4)(x − 3)(x − 4)

B. f(x) = (x − 1)(x + 3)(x + 4)

C. f(x) = (x + 1)(x + 3)(x + 4)

D. f(x) = (x − 1)(x − 3)(x − 4)

0304 LC Write the equation of the graph shown below in factored form the graph starts at the bottom left and continues up through the x axis at negative four to class=

Respuesta :

Answer:

The equation of the graph in factored is [tex]C) f(x)=(x+1)(x+3)(x+4)[/tex]

Step-by-step explanation:

From the graph given,

In order to find the equation, we need to consider the points where the curve cuts x- axis

From the graph, we have

[tex]x=-4, x= -3 \, and \, x= -1[/tex]

In factor form

[tex]x+4=0, \, x+3=0, \, and \, x+1=0[/tex]

Now, combine the factors above by multiplying together to form the equation, we have

[tex]f(x)=(x+1)(x+3)(x+4)[/tex]

Therefore, the equation of the graph in factored form is [tex]f(x)=(x+1)(x+3)(x+4)[/tex]

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