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$f(x)=(x+3)(x-5)$

Explanation: If the graph intersects the x-axis, then y must equal 0. We have the equation , $f(x) = y$which becomes $f(x) = 0$. The function will be equal to 0 when the opposite of$x$ is added to it (when added, cancels out each other to make 0). When x = -3, we can add 3 to make f(x) = 0, and when x = 5, we can subtract 5 to make f(x) = 0. We have our equation for f(x): $\boxed{f(x) = (x+3)(x-5)}$.

Hope this helps,

- PM