Considering the x-intercepts and the concavity, the graph that represents the equation f(x) = -(x + 1)(x - 3) is graph B.
How is the graph of a quadratic equation?
It has concavity either up or down, depending on the leading coefficient, and crosses the x-axis at the roots.
In this problem, the function is:
f(x) = -(x + 1)(x - 3).
Then:
- It is concave down, as the leading coefficient is negative.
- It crosses the x-axis at x = -1 and x = 3.
Hence, option B is correct.
More can be learned about the graph of a quadratic equation at https://brainly.com/question/24737967
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