Answered

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A parabola with a vertex at (0,0) has a focus along the negative part of the x-axis.

Which could be the equation of the parabola?

y2 = x
y2 = –2x
x2 = 4y
x2 = –6y

Sagot :

xero099

The equation of the parabola in standard form whose vertex is (0, 0) and a focus along the negative part of the x-axis is equal to x² = - 6 · y. (Correct choice: D)

How to determine the best equation of the parabola based on given characteristics

In accordance with the statement, we find that the parabola has its vertex at the origin, therefore it is horizontal and its vertex constant (C) is negative as its focus is in the negative part of the x-axis. Therefore, the equation of the parabola in standard form has the following form:

x² = C · y, for C < 0.     (1)

In consequence, the equation of the parabola in standard form whose vertex is (0, 0) and a focus along the negative part of the x-axis is equal to x² = - 6 · y.

To learn more on parabolae: https://brainly.com/question/21685473

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