Write the equation of the parabola with the vertex at the origin which passes through 5,6 and 5,-6 WRITE WITH NO FRACTIONS OR DECIMALS

Answer 1

The general equation for a horizontally facing parabola with vertex at the origin is x = ay², since there is no translation in the horizontal and vertical directions. We can substitute either of the given values in order to solve for a. We have:

5 = a(6²)

5 = 36a

a = 5/36

Therefore, our equation is x = (5/36)y². In order to write it without fractions or decimals, we must write it as:

36x = 5y²