The parabola y=x^2 is reflected across the x-axis and then scaled vertically by the factor of 1/8. What is the equation of the new parabola?

y = (-1/8) x^2

Step-by-step explanation:

Start with y = x^2. When the original parabola has been reflected across the x-axis, the pertinent equation becomes y = - x^2.

Now if this is scaled vertically by a factor of 1/8, we get:

y = (-1/8) x^2