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    Have you tried anything? This site usually works best when you present your best attempt. It's also polite to give us a minimal working example that we can start from. Commented Aug 13, 2016 at 2:29
  • @Teepeemm I'm starting to use TikZ , so I do not show any initial work. Commented Aug 13, 2016 at 2:31
  • The easiest solution is to use (y-2)^2/9=(x+1)^2/4-1 and take the square root (plus or minus). Note that x<-3 or x>1, so you will need four \addplots total. Commented Aug 13, 2016 at 3:35