Find the equation of the parabola with vertex at the origin which has a horizontal axis of symmetry and passes through (-5,-8) WRITE WITH NO FRACTIONS OR DECIMALS

Answer 1

A parabola with vertex at the origin and a horizontal axis of symmetry has the general equation x = ay², since there is no translation. We substitute the given value and solve for a:

-5 = a(-8)²

64a = -5

a = -5/64

Therefore, our equation is x = (-5/64)y². In order to write it without fractions or decimals, we must write it as:

64x = -5y²