Write a equation for the polynomail graphed below

  y(x) = (1/9)(x +4)(x +3)(x -1)(x -3)

Step-by-step explanation:

It has roots at -4, -3, 1, and 3 so can be written in the form ...

  y(x) = a(x +4)(x +3)(x -1)(x -3)

We can determine at the value of "a" by looking at the y-intercept. Filling in x=0 in the above equation, we get ...

  y(0) = 36a

We see on the graph that y(0) = 4, so "a" is ...

  4 = 36a

  4/36 = 1/9 = a

The polynomial is ...

  y(x) = (1/9)(x +4)(x +3)(x -1)(x -3)

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step-by-step explanation: