Which of these quintic equations fit this graph?

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Which one of the following equations could possibly have the graph given below?

1. \(y = (3-x)^2(3+x)^2(1-x)\);

2. \(y = -x^2(x-9)(x^2-3)\);

3. \(y = (x-6)(x-2)^2(x+2)^2\);

4. \(y = (x^2-1)^2(3-x)\).

If the curve touches the \(x\)-axis at \(x=a\), what do we know about the equation of the curve?

What happens as \(x\) approaches \(\pm \infty\) for each of these equations?