800px以降でscrollDownしたときにdivを表示する

$(document).scroll(function() {
  var y = $(this).scrollTop();
  if (y > 800) {
    $('.bottomMenu').fadeIn();
  } else {
    $('.bottomMenu').fadeOut();
  }
});

body {
  height: 1600px;
}
.bottomMenu {
  display: none;
  position: fixed;
  bottom: 0;
  width: 100%;
  height: 60px;
  border-top: 1px solid #000;
  background: red;
  z-index: 1;
}

<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<p>Scroll down... </p>
<div class="bottomMenu"></div>

myID = document.getElementById("myID");

var myScrollFunc = function() {
  var y = window.scrollY;
  if (y >= 800) {
    myID.className = "bottomMenu show"
  } else {
    myID.className = "bottomMenu hide"
  }
};

window.addEventListener("scroll", myScrollFunc);

body {
  height: 2000px;
}
.bottomMenu {
  position: fixed;
  bottom: 0;
  width: 100%;
  height: 60px;
  border-top: 1px solid #000;
  background: red;
  z-index: 1;
  transition: all 1s;
}
.hide {
  opacity: 0;
  left: -100%;
}
.show {
  opacity: 1;
  left: 0;
}

<div id="myID" class="bottomMenu hide"></div>

$(document).scroll(function() {
  //Show element after user scrolls 800px
  var y = $(this).scrollTop();
  if (y > 800) {
    $('.bottomMenu').fadeIn();
  } else {
    $('.bottomMenu').fadeOut();
  }

  // Show element after user scrolls past 
  // the top edge of its parent 
  $('h1').each(function() {
    var t = $(this).parent().offset().top;
    if (y > t) {
      $(this).fadeIn();
    } else {
      $(this).fadeOut();
    }
  });
});

body {
  height: 1600px;
}
.bottomMenu {
  display: none;
  position: fixed;
  bottom: 0;
  width: 100%;
  height: 60px;
  border-top: 1px solid #000;
  background: red;
  z-index: 1;
}
.scrollPast {
  width: 100%;
  height: 150px;
  background: blue;
  position: relative;
  top: 50px;
  margin: 20px 0;
}
h1 {
  display: none;
  position: absolute;
  bottom: 0;
}

<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<p>Scroll Down...</p>
<div class="scrollPast">
  <h1>I fade in when you scroll to my parent</h1>

</div>
<div class="scrollPast">
  <h1>I fade in when you scroll to my parent</h1>

</div>
<div class="scrollPast">
  <h1>I fade in when you scroll to my parent</h1>

</div>
<div class="bottomMenu">I fade in when you scroll past 800px</div>

$(document).scroll(function () {
    //stick nav to top of page
    var y = $(this).scrollTop();
    var navWrap = $('#navWrap').offset().top;
    if (y > navWrap) {
        $('nav').addClass('sticky');
    } else {
        $('nav').removeClass('sticky');
    }
});

body {
    height:1600px;
    margin:0;
}
#navWrap {
    height:70px
}
nav {
    height: 70px;
    background:gray;
}
.sticky {
    position: fixed;
    top:0;
}
h1 {
    margin: 0;
}

<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<p>Zombie ipsum reversus ab viral inferno, nam rick grimes malum cerebro. De carne lumbering animata corpora quaeritis. Summus brains sit, morbo vel maleficia? De apocalypsi gorger omero undead survivor dictum mauris. Hi mindless mortuis soulless creaturas,
  imo evil stalking monstra adventus resi dentevil vultus comedat cerebella viventium. Qui animated corpse, cricket bat max brucks terribilem incessu zomby. The voodoo sacerdos flesh eater, suscitat mortuos comedere carnem virus. Zonbi tattered for solum
  oculi eorum defunctis go lum cerebro. Nescio brains an Undead zombies. Sicut malus putrid voodoo horror. Nigh tofth eliv ingdead.</p>
<div id="navWrap">
  <nav>
    <h1>I stick to the top when you scroll down and unstick when you scroll up to my original position</h1>

  </nav>
</div>
<p>Zombie ipsum reversus ab viral inferno, nam rick grimes malum cerebro. De carne lumbering animata corpora quaeritis. Summus brains sit, morbo vel maleficia? De apocalypsi gorger omero undead survivor dictum mauris. Hi mindless mortuis soulless creaturas,
  imo evil stalking monstra adventus resi dentevil vultus comedat cerebella viventium. Qui animated corpse, cricket bat max brucks terribilem incessu zomby. The voodoo sacerdos flesh eater, suscitat mortuos comedere carnem virus. Zonbi tattered for solum
  oculi eorum defunctis go lum cerebro. Nescio brains an Undead zombies. Sicut malus putrid voodoo horror. Nigh tofth eliv ingdead.</p>