The equation of the parabola in <em>standard</em> form whose vertex is (0, 0) and a focus along the <em>negative</em> part of the x-axis is equal to x² = - 6 · y. (Correct choice: D)
<h3>How to determine the best equation of the parabola based on given characteristics</h3>
In accordance with the statement, we find that the parabola has its vertex at the origin, therefore it is <em>horizontal</em> and its <em>vertex</em> constant (C) is <em>negative</em> as its focus is in the <em>negative</em> part of the x-axis. Therefore, the equation of the parabola in <em>standard</em> form has the following form:
x² = C · y, for C < 0. (1)
In consequence, the equation of the parabola in <em>standard</em> form whose vertex is (0, 0) and a focus along the <em>negative</em> part of the x-axis is equal to x² = - 6 · y.
To learn more on parabolae: brainly.com/question/21685473
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