# Write an equation for the polynomial graph: 01510102851.jpg y(x)=?

Write an equation for the polynomial graph:

y(x)=?

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cheekabooy
x=1, x=-1, x=-3
Factors: (x-1)=(x-1)
(x-(-1))=(x+1)
(x-(-3))=(x+3)
f(x)=a(x-1)(x+1)(x+3)
From graph f(0)=-3
f(0)=a(0-1)(0+1)(0+3)=-3
-3a=-3
$$\displaystyle{x}^{{2}}+{3}{x}^{{2}}-{x}-{3}$$
f(x) on $$\displaystyle{y}{\left({x}\right)}={x}^{{3}}+{3}{x}^{{2}}-{x}-{3}$$