ANSWER:
[tex]y=-\frac{1}{6}x^{2}[/tex]STEP-BY-STEP EXPLANATION:
The original parabola is the following:
[tex]y=x^2[/tex]We apply each transformation:
[tex]\begin{gathered} \text{ Reflection across the x-axis is: }y=-x \\ \\ \text{ Therefore, in this case::} \\ \\ y=-x^2 \\ \\ \text{ Vertical scaling by a factor of b: }y=bx \\ \\ \text{ Therefore, in this case:} \\ \\ y=\frac{1}{6}x^2 \\ \\ \text{ Finally it would be:} \\ \\ y=-\frac{1}{6}x^2 \end{gathered}[/tex]