JSFiddle - React, Tailwind, and code Playground

HTML

<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.3.1/jquery.min.js"></script>
<div class="container">
  <div class="slider slider-homepage">
    <div class="slider-container">
      <a href="#">
        <img src="https://picsum.photos/500/300/?gravity=east" alt="">
      </a>
      <a href="#">
        <img src="https://picsum.photos/500/300/?gravity=south" alt="">
      </a>
      <a href="#">
        <img src="https://picsum.photos/500/300/?gravity=west" alt="">
      </a>
    </div>
  </div>
</div>

CSS

body * {
  box-sizing: border-box;
}

.container {
  max-width: 1200px;
  margin: 0 auto;
}

.slider {
  width: 100%;
  height: 300px;
  position: relative;
  overflow: hidden;
}

.slider-homepage {
  position: relative;
}

.slider .slider-nav {
  text-align: center;
  position: absolute;
  padding: 0;
  margin: 0;
  left: 10px;
  right: 10px;
  bottom: 2px;
  z-index: 30;
}

.slider .slider-nav li {
  display: inline-block;
  width: 20px;
  height: 3px;
  margin: 0 1px;
  text-indent: -9999px;
  overflow: hidden;
  background-color: rgba(255, 255, 255, .5);
}

.slider .slider-nav a {
  display: block;
  height: 3px;
  line-height: 3px;
}

.slider .slider-nav li.activeSlide {
  background: #fff;
}

.slider .slider-nav li.activeSlide a {
  display: none;
}

.slider .slider-container {
  width: 100%;
  position: absolute;
  text-align: center;
}

.slider .slider-container a {
  display: block;
}

.slider .slider-container img {
  transform: translateX(-50%);
  margin-left: 50%;
}

JavaScript

var $elm = $('.slider'),
  $slidesContainer = $elm.find('.slider-container'),
  slides = $slidesContainer.children('a'),
  slidesCount = slides.length,
  slideHeight = $(slides[0]).find('img').outerHeight(false),
  animationspeed = 1500,
  animationInterval = 7000

// Set (initial) z-index for each slide
var setZindex = function() {
  for (var i = 0; i < slidesCount; i++) {
    $(slides[i]).css('z-index', slidesCount - i);
  }
};
setZindex();

var setActiveSlide = function() {
  $(slides).removeClass('active');
  $(slides[activeIdx]).addClass('active');
};

var advanceFunc = function() {
  if ($('.slider-nav li.activeSlide').index() + 1 != $('.slider-nav li').length) {
    $('.slider-nav li.activeSlide').next().find('a').trigger('click');
  } else {
    $('.slider-nav li:first').find('a').trigger('click');
  }
}

var autoAdvance = setInterval(advanceFunc, animationInterval);

//Set slide height
$(slides).css('height', slideHeight);

// Append bullets
if (slidesCount > 1) {
  /* Prepend the slider navigation to the slider
     if there are at least 2 slides */
  $elm.prepend('<ul class="slider-nav"></ul>');
  
  // make a bullet for each slide
  for (var i = 0; i < slidesCount; i++) {
    var bullets = '<li><a href="#">' + i + '</a></li>';
    if (i == 0) {
      // active bullet
      var bullets = '<li class="activeSlide"><a href="#">' + i + '</a></li>';
      // active slide
      $(slides[0]).addClass('active');
    }
    $('.slider-nav').append(bullets);
  }
};

var slideUpDown = function() {
  $('.slider-container').stop().animate({top: activeIdx * slideHeight * -1}, {duration: animationspeed});
};

$('.slider-nav a').on('click', function(event) {
	
  activeIdx = $(this).text();
  if ($(slides[activeIdx]).hasClass("active")) {
    return false;
  }
  $('.slider-nav a').closest('li').removeClass('activeSlide');
  $(this).closest('li').addClass('activeSlide');

  // Reset autoadvance if user clicks bullet
  if (event.originalEvent !== undefined) {
   ...