The image of a parabolic lens is projected onto a graph. The image crosses the x -axis at negative 2 and 3 The point negative 1 comma 2 is also on the parabola. Which equation can be used to model the image of the lens?

The x-intercepts −2 and 3 give the factors (x + 2)(x − 3), so the equation has the form y = a(x + 2)(x − 3). Substituting the point (−1, 2) gives 2 = a(1)(−4), so a = −1/2. Therefore, the model is y = −1/2(x + 2)(x − 3), choice D.

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