Answer:
B. (x +4)(x -4)
Explanation:
The x-intercepts are shown on the graph to be at x=-4 and x=4. For x-intercept p, there is a factor (x-p). That means the factored form is ...
(x -(-4))(x -(4)) = (x +4)(x -4)
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Additional comment
The product of these factors is x^2 -16, consistent with the vertex on the graph being located at (0, -16).