ANSWER
The new equation is:
[tex]y = - \frac{1}{8} {x}^{2} [/tex]
EXPLANATION
The given parabola has equation,
[tex]y = {x}^{2} [/tex]
This is the parent function.
When we reflect this parabola in the x-axis and then scaled vertically by a factor of 1/8.
The new equation becomes:
[tex]y = - \frac{1}{8} {x}^{2} [/tex]
