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Polynomials & Rational Functions

Review question

Which of these quintic equations fit this graph?
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Ref: R8160

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Question

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

\(y = (3-x)^2(3+x)^2(1-x)\);
\(y = -x^2(x-9)(x^2-3)\);
\(y = (x-6)(x-2)^2(x+2)^2\);
\(y = (x^2-1)^2(3-x)\).

Graph that tends to minus infinity as x tends to infinity, and tends to infinity as x tends to minus infinity. It touches the x axis twice, once for a positive x value and once for a negative one, and finally crosses the x axis from above to below for an x value larger than these values. Its value at 0 is positive.