What is the differential equation of all parabolas whose directrices are parallel to the x-axis?

What is the differential equation of all parabolas whose directrices are parallel to the x-axis? Correct Answer d3y/dx3 = 0

The equation of family of parabolas is Ax2 + Bx + C = 0 where, A, B, C are arbitrary constant. By differentiating the equation with respect to x till all the constants get eliminated, Hence, d3y/dx3 = 0
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