The function f(x) = 5()x is reflected over the y-axis. which equations represent the reflected function? check all that apply.

f(x) = (5)x

f(x) = (5)–x
f(x) = ()x
f(x) = 5()–x
f(x) = 5(5)x
f(x) = 5(5)–x

Key term "Reflected", which is equivalent to "inverse". This means that the graph, although remains with the same points, is "reflected". Think of a mirror. 
Say y = m(x). The reflected result is y = -m(x). Or in another case, y = m(-x) will be reflected to y = m(x). 
Lets break this rule further. Say your point was (a,b) which is code for (x,y). If we're looking at the x-axis, the y becomes negative. Henceforth, it becomes (x,-y) and vice versa. 
In this case, we're looking at the y-axis reflected, meaning, the x-value will be NEGATIVE. 

Answer is C: m(x) - 5() -x This can be seen as m(x) = m(-x) as well.