Bow

The Bow is Lara's Primary weapon in Tomb Raider and Rise of the Tomb Raider. it is Lara's signature weapon in the timeline, replacing her dual pistols from all previous timelines.

Lara uses several different bows over the course of the game. Which she either finds, makes, or is given. The bow is also initially used by Lara for melee purposes, with the bow itself being used to strangle enemies, and the arrows being used to incapacitate/kill foes during Dodge Counter/Kill.

Bows
Makeshift Longbow - Made of several sticks tied together. Has two available upgrades. Taken from a dead body hanging from a tree near the start of the game.

Recurve Bow - Made from a single piece of wood. Ornate patterns carves into limbs. Has Four Available Upgrades. Crafted by finding the first set of Bow Parts.

Compound Bow - A modern compound bow. Has six available upgrades. Given to Lara by Jonah, on Shipwreck Beach.

Competition Bow - A high-tech compound bow with a skeletal designed frame. Has 9 available upgrades. Crafted by finding the second set of Bow Parts.

Arrow types
Standard - Completely silent, can be used to create distractions, can be retrieved, used for dodge counter/kill.

Rope - Can be used to pull enemies off ledges, tear down platforms or cover, and to create ziplines.

Fire - Ignites enemy, or flammable substances/materials on impact. Can be used to light torches from afar or ignite gas leaks. They can be can be upgraded to spill a pool of Napalm upon impact,

Explosive - Capable of killing groups of enemies, and destroying metal barriers and enemy cover positions.

Penetrating - A penetrating arrow that act as a standard arrow, which can penetrate an enemies' armor, or pass through soft targets to hit a multiple targets.

Bows
Makeshift Longbow - Bare-bones bow crafted from sticks. Simple yet dependable.

Recurve Bow - A hand-crafted bow balanced for effectiveness in all situations.

White Widow - Bleached white recurve bow that is evenly balanced for all-around effectiveness.

Compound Bow - A technically advanced bow focused on high damage.

Ancient Horn Bow - An ancient Byzantine bow built for high firing speeds. Adorned with pieces of mountain ram horn. Obtainable through a quest.

Grim Whisper - Ancient horn bow with decorative snow leopard fur-wrapped limbs.

Guiding Light - A gilded ancient Byzantine horn bow crafted for quick firing in any circumstance. Obtained by Ancient Vanguard DLC.

Dreamstinger - a crude but functional weapon of wood, skin, and bone that imbues your arrows with the Witch's pollen. Obtained by completing Baba Yaga DLC area.

Arrow Types
Silent Arrow - Standard arrows that kill silently. Crafting costs: 1 feather, and 2 wood.

Poison Arrow - Arrows that deploy a cloud of lethal poison on impact. If Death Cloud Arrows skill is known, crafting yields upgraded arrow type. Crafting costs: 2 arrows, 1 cloth, and 3 mushrooms.

Fire Arrow - Burning arrows that can ignite flammable objects and unarmored enemies. If Napalm Arrows skill is known, crafting yields upgraded arrow type. Crafting costs: 2 arrows, 1 cloth, and 1 oil.

Grenade Arrow - Explosive tipped arrows that detonate on impact, dealing heavy concussive damage. If Cluster Bomb Arrows skill is known, crafting yields upgraded arrow type. Crafting costs: 2 arrows, 1 cloth, and 4 magnesite ore.

Armor Piercing Arrow - Arrow that shoots though armor plating. Obtained in a cutscene, replaces Silent Arrow.

Upgrades

 * (x) = Survivor Cost

Trivia

 * Lara learned archery in during her time in boarding school.
 * Rhianna Pratchett said in an interview that she wrote Lara used a bow, as she did archery herself in her youth.
 * Coincidentally, Lara's actress, Camilla Luddington, also did archery when she was younger.
 * Lara apparently did archery in the original timeline as well, though she never used a bow in game, she did use a Crossbow.
 * Lara has used a bow in the Tomb Raider Journey's comic series, showing a natural affinity for it.