Introduce the mirroring an object effect
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      Bartley, there are 2 main approaches to mirror an object in Illustrator: 
 1. Use Object > Repeat > Mirror command. This will give you control over the mirror axis you can modify directly on canvas.
 2. Use Effect > Distort & Transform > Transform effect. It’s harder to control, within the dialog only, but it has more options. Check Reflect X and set the reference point to one of right position with the 9-point control to flip the object to the right. Try other options to get different results.
 Do these help? If not — what do you want to achieve these two ways don’t allow?
 
          