Which rule should be applied to reflect f(x) = x3 over the y-axis?

a. substitute -x for x and simplify f(-x)
b. multiply f(x) by -1.
c. switch the variables x and y in the equation
d. multiply f(y) by -1.

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

Here, the sign of only x coordinate is changed while y coordinate remains unchanged.

The given function is,

So, reflecting it over y axis, we have to replace x with -x, i.e

Hence the new reflected function is,