Amazing Girl's powers were bestowed by a group who chose them on the basis of utility rather than thematic coherence.
Amazing Girl is actually a Gadgeteer who gets her Super Strength from her costume, and the prehensile hair is actually a wig she made after a lab accident rendered her bald.
Amazing Girl's only power is actually telekinesis, but it's limited to her own body. She discovers she can use it to add strength far beyond her own muscle mass, or move her hair around.
Amazing Girl owns a Transformation Trinket that uses Power Crystals, but she has five crystals while the trinket can only use two at a time. She just chooses which two are most useful for the given situation.
Subverted: Amazing Girl seems to have a nonintuitive set of powers, but it turns out the rest of the Justice Team has been using their abilities to make it seem like she has all these wacky powers as a Batman Gambit to fool Emperor Evulz into considering her more of a threat than she actually is.
Double Subverted: But the experience leaves her with at least one genuine new power that doesn't fit in with her others.
Parodied: Alice is seen before she becomes Amazing Girl, literally picking her powers from a menu. "I'll have one from Column A, two from Column B, ooh, prehensile hair sounds good, and that comes with complimentary Most Common Superpower, right?"
Deconstructed: The very different manifestations of Amazing Girl's power are due to an instability in her mutant DNA. If she's exposed to any further triggers, she's as likely as not to suffer a Superpower Meltdown. Worse, the powers actively interfere with each others' operation, so Amazing Girl is much less effective than if she just had one power.
Reconstructed: Amazing Girl still finds a way to optimise her power use for the situation, despite the interference, and becomes on par with her fellow heroes this way.
Take one from Column A, one from Column B, pick a beverage and a dessert, and go Back to Combo Platter Powers.