Let f(x) be a function; thus, the reflection across the y-axis of f(x) is given by f(-x).
Therefore, in our case,
[tex]g(x)=f(-x)=-(-x)^3-8(-x)^2-9(-x)+11[/tex]
Simplifying,
[tex]\Rightarrow g(x)=x^3-8x^2+9x+11[/tex]
Thus, the answer is g(x)=x^3-8x^2+9x+11, the first option (top to bottom).
