Bezier Curves

local start = workspace:FindFirstChild("Start").Position
local finish = workspace:FindFirstChild("Finish").Position
local p1 = workspace:FindFirstChild("P1").Position
local p2 = workspace:FindFirstChild("P2").Position

local travel = workspace:FindFirstChild("Travel")

local lerp1 = workspace:FindFirstChild("L1")
local lerp2 = workspace:FindFirstChild("L2")
local lerp3 = workspace:FindFirstChild("L3")

local sfin1 = workspace:FindFirstChild("Sfin1")
local sfin2 = workspace:FindFirstChild("Sfin2")

local function lerp(a, b, t)
    return a + (b - a) * t
end

-- Lerp
--[[
for i = 0, 10, 1 do
    local t = i / 10

    travel.Position = lerp(start, finish, t)

    wait(1)
end
]]

-- Quadratic
--[[
for i = 0, 100, 1 do
    local t = i / 100

    local l1 = lerp(start, p1, t)
    local l2 = lerp(p1, finish, t)

    lerp1.Position = l1
    lerp2.Position = l2

    local quad = lerp(l1, l2, t)
    travel.Position = quad

    wait(.01)
end
]]

for i = 0, 100, 1 do
    local t = i / 100

    local l1 = lerp(start, p1, t) -- Lerp
    local l2 = lerp(p1, p2, t) -- Lerp
    local l3 = lerp(p2, finish, t) -- Lerp

    lerp1.Position = l1
    lerp2.Position = l2
    lerp3.Position = l3

    local start = lerp(l1, l2, t) -- Quadratic
    local finish = lerp(l2, l3 , t) -- Quadratic

    sfin2.Position = start
    sfin1.Position = finish

    local cubic = lerp(start, finish, t) -- Cubic

    travel.Position = cubic

    wait(.01)
end