The image of a parabolic lens is traced onto a graph. The function f of x is equal to 1 fourth open paren x plus 8 close paren open paren x minus 4 close paren represents the image. At which points does the image cross the x -axis?

The image crosses the x-axis where f(x) = 0. In f(x) = 1/4(x + 8)(x − 4), the product is zero when either factor is zero: x + 8 = 0 gives x = −8, and x − 4 = 0 gives x = 4. Therefore, the intercepts are (−8, 0) and (4, 0), which is choice A.

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