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

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

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

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MrRoyal MrRoyal · Answer 1 · 2021-09-29T23:55:11+02:00

The minimum and the maximum y-values represent a quadratic function.

The function in factored form is [tex]f(x) = (x + 2)(x- 1)(x - 3)[/tex]

From the question, the graph crosses the x-axis at:

Next, we equate the above equations to 0

This gives:

[tex]x + 2 = 0[/tex]

[tex]x - 1 = 0[/tex]

[tex]x - 3 = 0[/tex]

Multiply the above equations

[tex](x + 2)(x- 1)(x - 3) = 0 \times 0 \times 0[/tex]

[tex](x + 2)(x- 1)(x - 3) = 0[/tex]

Represent as a function

[tex]f(x) = (x + 2)(x- 1)(x - 3)[/tex]

Hence, the required function is:

[tex]f(x) = (x + 2)(x- 1)(x - 3)[/tex]

See attachment for the graph of [tex]f(x) = (x + 2)(x- 1)(x - 3)[/tex]

Read more about quadratic functions at:

https://brainly.com/question/23094373