Detailed explanation of powers/abilities:
Zatanna:
Zatanna is genetically gifted with the ability to use magic. As a tribute to her father and as a focus for her spells, she casts spells by speaking commands backwards. However, this is not necessary, as she has demonstrated an ability to use magic without speaking.
The limits of her powers have never been clearly established. She has been called the most powerful member of the Justice League, and is often depicted working alongside the most powerful magic-users on Earth, including Doctor Fate, Madame Xanadu, and Captain Marvel. She has used her powers to command elemental forces, heal, transmute and transmogrify objects, manipulate people, and attack her opponents with mystic blasts. She has resurrected the city of Metropolis from ruin, merged Aquaman's spirit with the entire ocean, and manipulated time and space. Additionally, since her magic seems to regularly fluctuate, this increases the difficulty of establishing clear limits to her powers.
She has been trained in battle by the Justice League, but favors using magic.
Scarlet Witch:
Initially, the Scarlet Witch had the ability to manipulate probability via her "hexes" (often manifesting physically as "hex spheres" or "hex bolts"). These hexes are relatively short range, and are limited to her line of sight. Casting a hex requires a gesture and concentration on her part, though the gestures are largely a focus for the concentration. Early in her career, her hexes were unconscious on her part, and would be automatically triggered whenever she made a particular gesture, regardless of her intent. These hexes would only manifest random "bad luck" effects: objects falling or breaking, people tripping, and so on. She later gained enough control over her powers that her powers only work when she wants them to, and they are not limited to negative effects. Despite this enhanced precision, her hexes are not necessarily guaranteed to work, particularly if she has been straining herself or using her powers excessively. If overextended, her hexes can backfire, causing probability to work against her wishes or to undo previous hexes.
Her hexes seem to have a wide, almost limitless variety of recorded and possible effects, though they often boil down to a kind of Deus ex machina superpower. They have been known to alter the molecular composition and physical state of physical objects, negate or distort physical laws, and to cause various forms of energy to spontaneously appear or disappear. She has an affinity with natural elements and phenomena, stemming largely from her magical training under Agatha Harkness, and has trained often at using her hexes to deflect projectiles or to cause enemies to stumble or otherwise suffer the effects of "bad luck". Though her powers resemble psychokinesis, her probability-altering powers are more than enough to allow her to transform energy around her into "energy bolts", or even to grant Wanda short flight capability.[issue # needed] Although her hexes can cause objects to suddenly move or change course, they do not have the ability to "hold on" to objects as a telekinetic might.[citation needed] Ultimately, the hexes are not under the Witch's direct control, although she can influence the nature of their effects with great concentration and effort. This makes her one of the few Avengers that Ultron fears; his adamantium shell cannot repel her magic. She has displayed the ability to cancel Longshot and Domino's powers of probability and has also once turned Longshot into a cat[issue # needed].
The first major reclassification of Wanda's fairly-indistinct hex powers came during Kurt Busiek's run on Avengers, where her power was claimed by Agatha Harkness to be an ability to manipulate chaos magic, given to her by the demon Chthon (imprisoned within Wundagore Mountain) when she was born. Her hexes were, by extension, simple, indirect manifestations of this magic, destabilising probabilities by inducing chaos. Across Busiek's run, Wanda's powers grew continuously, as she gained the ability to manipulate organic matter and summon Wonder Man back to life. While in the DC Universe (during the JLA/Avengers crossover, she displayed the ability to access that universe's chaos magic, but had great difficulty in doing so at first, since it was more powerful there and she had no previous experience in wielding it.
The second and most controversial[citation needed] redefinition of Wanda's powers came under the writing of Brian Michael Bendis, whose final Avengers story Avengers Disassembled declared all previous explanations about Wanda's powers to be lies or mistakes and recast her as an insane reality warping mutant whose powers work on an unconscious level. While it was implied by Immortus that Wanda possessed the potential for such, when he turned Wanda into a "Nexus Battery"[issue # needed], Immortus specifically claimed that Wanda could only manipulate past alternate timelines. Her powers were used by Morgan Le Fey to alter reality in Avengers (vol. 3) #1-3, although this was only accomplished through a much more complicated spell that involved a slew of magical artifacts that actually brought about the warping of reality with Wanda simply used as a power source.
Under Bendis' definition, the Scarlet Witch's powers are not fully under her conscious control, and their effects persist even after Dr. Strange shut down her mind. There seem to be no limits to her powers during House of M, as she was easily able to alter the entire Earth-616 reality at will, and is also altering reality on a multiversal scale without even realizing what she had done, though certain of her victims claim to be able to discern the difference between reality and her spells.
Wanda's ability to channel and wield magical energy was brought about by the demonic sorcerer Chthon. On the day that Wanda was born, the ghostly spectre of Chthon visited the newborn Wanda and "blessed" Wanda so that Wanda could channel the dangerous Chaos Magic that was the basis for Chthon's unholy might. Chthon's intentions were to create a vessel that he could possess one day, when Wanda was a full-grown adult, though his schemes to do so were foiled by the Avengers.
As such, due to Chthon's "blessing", Wanda is also vulnerable to having all of her powers disabled if Chthon is ever disrupted. During the period in which pages from Chthon's sacred tome, the Darkhold, were scattered across the globe, Wanda's powers were periodically disabled -- with her being left powerless in several dangerous battles against various super-villains -- until several of the missing pages were restored to the book. Although this particular plot thread was stated by Agatha Harkness who was reanimated by Wanda. How much of it is true and how much of it is more unconscious manifestations of the Scarlet Witch's reality manipulation is up to the reader's preference
Wanda has also been trained in hand-to-hand combat by both Captain America and Hawkeye, and has, when sane, the experience and leadership skills that come from years of active duty as an Avenger.
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