Answer:
A. Substitute -x for x and simplify f(-x)
Step-by-step explanation:
While reflecting a point with coordinates as (x, y), over y axis, the rule followed is
[tex](x,y)\rightarrow (-x,y)[/tex]
Here, the sign of only x coordinate is changed while y coordinate remains unchanged.
The given function is,
[tex]f(x)=x^3[/tex]
So, reflecting it over y axis, we have to replace x with -x, i.e [tex](x,f(x))\rightarrow (-x,f(x))[/tex]
Hence the new reflected function is,
[tex]f(-x)=(-x)^3=-x^3[/tex]
