As we ALL know AP Tristana was a real beast high nuker burst champion before her rework. She got many nerfs and added cooldowns. I have no idea how Riot tought when they did this new rework on Tristana, she is now super balanced when you go full AP *cough* *cough*. If you do her combo (E, Q, 4 AA, DFG, W , ult) You will deal a total of 5k+ Damage ( Lich Bane used as well with added basics). The only down side to her new rework is that her 50% reduced healing effect on E is now gone :( That would have also been over powered as fuuck. She is now really OP early, one E and 2-3 basics at lvl 1 deals a total of 100-140 damage which is very much if you think that most of all the champions in League have only about 500 HP at lvl 1.

PROS
+ High poke potential
+ Probebly the highest Burst in the game
+ Sick Pushing speed (both AP and AD. Her E can be landed on towers -.-)
+ Fun (and that is the only thing that matters am I right)
+ If fed, can snowball extremely fast it's not even funny
+ Very good at doing ganks, pro roamer
+ Extreme wave clear
+ Super long attack range
+ New voice and punch lines :)

Cons

- Squishy
- Gonna get focused hard
- Yordle (Teemo is a Yordle so its a satanic rase)
- Risky gameplay
- Very Long Cooldowns. Especally after the nerfs...

Her damage out put has been significantly increased.
Her E on the old Tristana (at max rank) did 260 +(100% AP), say that we have 100 AP to make this math as simple as possible. Her E does 360 damage before magic resist and those stuffs. Her new E how ever Deals 100(+ some AD 10) (+100 AP).
Her OLD E = 360 Damage
Her NEW E = 210 Damage
Her NEW E how ever can get increased damage up til 100% more ( If she lands 4 basics) 210x2=420
Now her NEW E deals = 420 Damage
And her OLD E only deals = 360 damage
Her NEW E deals more damage.
Tristanas W Deals 250 (+80% AP) This means her W deals 330 damage. The New Tristanas E can scale with her Rocket Jump. So if it has 4 stacks her W will also deal + 100% extra damage.
Old W = 330 Damage
New W = 660 Damage (4 Stacks with her E)
As you can se, her abilities CAN deal more damage if you proc her E right!

A downside to this new tristana is that her Combo is harder to do and she will need a little more skill to be mastered then the OLD Tristana.

The basic combo for Tristana Is Q and directly after E, then 4 basics, when the ball glows RED not ORANGE then W to do 100% increased damage on your jump. While you are in MID air in your W Activate your DFG if you have it. Then Ignite and press R, Pp zhonyas id necesary. This combo could even kill som tanks!
So the Easy Formula goes like this

Q, E, 4 AA, W-DFG ,Ignite, R.

Her new poke will be

Q,E and 4 basics

... just DONT greed for the fourth stack/basic so you loose the trade!