I know there have been a few posts about Caesar Ciphers in the past, which I have had a look at, but I haven't found an answer which has helped me to solve this kata, hence my post.
The language is JavaScript. I've written 3 tests, 2 of which are passing so far, but the third is not. I tried to use a nested for loop to loop over the alphabet and the str, and compare them, then shift the alphabet index up/down according to whatever the number was, then push that letter into a new array, and return the joined array at the end.
It's working for positive numbers, but not negatives. (I should also point out that I haven't thought of how to handle spaces yet, I just wanted to get it working for single words first, then take it from there, thanks!)
Any pointers in the right direction would be appreciated.
Kata Instructions:
The function caesarCipher should take a string and a number (n) and return a new string with a Caesar cipher applied. A Caesar cipher replaces each plaintext letter with a different one a fixed number of places up or down the alphabet. N represents the number of shifts up or down the alphabet should be applied. It may be negative or positive.
  E.g.
  caesarCipher('hello', 2)
    --> 'jgnnq'
  caesarCipher('hello world!', -3)
    --> 'ebiil tloia!'
My tests:
const caesarCipher = require("../katas/caesar-cipher");
const { expect } = require("chai");
describe.only("caesarCipher", () => {
  it("returns an empty string when passed an empty string", () => {
    const alphabet = [
      "a",
      "b",
      "c",
      "d",
      "e",
      "f",
      "g",
      "h",
      "i",
      "j",
      "k",
      "l",
      "m",
      "n",
      "o",
      "p",
      "q",
      "r",
      "s",
      "t",
      "u",
      "v",
      "w",
      "x",
      "y",
      "z"
    ];
    const str = "";
    const num = 2;
    const actualResults = caesarCipher(alphabet, str, num);
    const expectedResults = "";
    expect(actualResults).to.equal(expectedResults);
  });
  it("returns a string with the letters replaced by the number of shifts up the alphabet", () => {
    const alphabet = [
      "a",
      "b",
      "c",
      "d",
      "e",
      "f",
      "g",
      "h",
      "i",
      "j",
      "k",
      "l",
      "m",
      "n",
      "o",
      "p",
      "q",
      "r",
      "s",
      "t",
      "u",
      "v",
      "w",
      "x",
      "y",
      "z"
    ];
    const str = "hi";
    const num = 2;
    const actualResults = caesarCipher(alphabet, str, num);
    const expectedResults = "jk";
    expect(actualResults).to.equal(expectedResults);
  });
  it("returns a string with the letters replaced by the number of shifts down the alphabet", () => {
    const alphabet = [
      "a",
      "b",
      "c",
      "d",
      "e",
      "f",
      "g",
      "h",
      "i",
      "j",
      "k",
      "l",
      "m",
      "n",
      "o",
      "p",
      "q",
      "r",
      "s",
      "t",
      "u",
      "v",
      "w",
      "x",
      "y",
      "z"
    ];
    const str = "dog";
    const num = -3;
    const actualResults = caesarCipher(alphabet, str, num);
    const expectedResults = "ald";
    expect(actualResults).to.equal(expectedResults);
  });
});My Solution:
function caesarCipher(alphabet, str, num) {
  const strToArray = str.split("");
  console.log(strToArray);
  const cipheredStr = [];
  for (let i = 0; i < strToArray.length; i++) {
    for (let j = 0; j < alphabet.length; j++) {
      if (strToArray[i] === alphabet[j] && Math.sign(num) === 1) {
        console.log(Math.sign(num));
        cipheredStr.push(alphabet[(j += num)]);
      } else if (strToArray[i] === alphabet[j] && Math.sign(num) === -1) {
        console.log(Math.sign(num));
        console.log(alphabet[(j -= num)]);
        cipheredStr.push(alphabet[(j -= num)]);
      }
    }
  }
  console.log(cipheredStr.join(""));
  return cipheredStr.join("");
}The Results:
caesarCipher
[]
    ✓ returns an empty string when passed an empty string
[ 'h', 'i' ]
1
1
jk
    ✓ returns a string with the letters replaced by the number of shifts up the alphabet
[ 'd', 'o', 'g' ]
-1
g
-1
r
-1
j
jum
    1) returns a string with the letters replaced by the number of shifts down the alphabet
  2 passing (15ms)
  1 failing
  1) caesarCipher
       returns a string with the letters replaced by the number of shifts down the alphabet:
      AssertionError: expected 'jum' to equal 'ald'
      + expected - actual
      -jum
      +ald
      
      at Context.<anonymous> (spec/caesar-cipher.spec.js:108:30)
      at processImmediate (internal/timers.js:456:21) 
     
    