Yes but it dose depend on the problem
Even functions (like this one) are symmetric to the y-axis. So even if you reflect it over the y-axis it will look the same :)
We know the distance formula is

9)
Here A( -4,2) and B(1,4)
So length of AB
= 
Also C(2,1)
Length of BC
= 
So we can see that length of AB is not equal to length of BC
11.
Now AB = 
Also C(2,-1) & D(4,4)
Length of CD
= 
Yes AB = CD