How Do Astronomers Know That The Universe is Currently Expanding?

Question:
I have been confused about how we can conclude that the universe is expanding if all we know about distant galaxies are in the past. E.g. the furthest observed galaxy 13.x billion light years away is showing red shift. All this means is that 13.x billion years ago it was moving away. No one knows what it might be doing now or has done since the observed light left it. Similarly, all distance measurements of galaxies tell us is the further away they are the longer ago it was and the faster they were moving. Might it be possible that the expansion slowed down or even reversed but the light has not got to us yet to confirm the current situation ?
If the greatest redshift that we ever measured belonged to a hubble ultra deep field galaxy that surely only tells us how fast that was moving soon after the big bang. Nothing more. I hope you can clear this up for me. Thank you
Answer:
Astronomers observe a regular progression of galaxies which are expanding at progressively higher velocities as they measure galaxies at increasing distances. What they measure then is an expansion of the universe at both relatively recent times in addition to the early phases of the universe’s evolution.