Question

( f(x) = 5(3) ) is reflected over the y-axis. Which equations represent the reflected function? Select two options.

a) ( f(x) = -5(3) )

b) ( f(x) = -5(5) )

c) ( f(x) = 5(-3) )

d) ( f(x) = 5(3) )

Answer 1

To reflect a function over the y-axis, change the sign of the x-coordinates. The options a) and d) represent the reflected function.

Step-by-step explanation:

To reflect a function over the y-axis, we change the sign of the x-coordinates. In this case, the function f(x) = 5(3) becomes f(x) = -5(3).

So option a) ( f(x) = -5(3) ) represents the reflected function.

Another option that represents the reflected function is d) ( f(x) = 5(3) ).

This is because the original function is symmetric about the y-axis and reflecting it over the y-axis does not change the function.