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Which of the equations below could be the equation of this parabola?A.y = 3x2B.y = -3x2C.x = 3y2D.x = -3y2SUBMITarrow_backPREVIOUS

Question

Which of the equations below could be the equation of this parabola?A.y = 3x2B.y = -3x2C.x = 3y2D.x = -3y2SUBMITarrow_backPREVIOUS

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Solution

To determine the correct equation for the parabola, we need to know the direction of the parabola.

  1. If the parabola opens upwards or downwards, the equation will be in the form of y = ax^2. If a is positive, the parabola opens upwards. If a is negative, the parabola opens downwards. So, if the parabola opens upwards, the equation could be y = 3x^2 (Option A). If it opens downwards, the equation could be y = -3x^2 (Option B).

  2. If the parabola opens to the right or to the left, the equation will be in the form of x = ay^2. If a is positive, the parabola opens to the right. If a is negative, the parabola opens to the left. So, if the parabola opens to the right, the equation could be x = 3y^2 (Option C). If it opens to the left, the equation could be x = -3y^2 (Option D).

Without a graph or additional information about the parabola, it's impossible to definitively choose the correct equation from these options.

This problem has been solved

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