Commit ForwardSlatz and Woodee are giving you good advice here, but I'd expand on Woodee's post to (1) give you some theoretical understanding to help you do the right thing, and (2) (my forte) highlight some mistakes you might want to avoid.
1. Commit forward in a big way as soon as you hit the lip of the steeper part. This is important, because without a big, conscious move forward, you will be left in the back seat, for two reasons. The first is mechanical: If you go from flat to steeps, unless you make a big forward move, your feet take off on you and your upper body is still lingering in the wrong vertical plane: It's "up" above your feet like a tree grows up from the ground instead of "up" in your new orientation, perpendicular to the new steeper slope. The second is fear: The natural reaction in the steeps is to lean back, away from danger. This is normal, even among ski racers. (In last weekend's OLN broadcast of the Chamonix downhill, the commentators pointed out how Byron Friedman and Scott Macartney of the U.S. were on their heels in part of the downhill course, and that that was the reason they finished 2-3 seconds back.)
1.1 The effect of not being forward is that you will skid your next two turns--you can't carve as effectively in the back seat (the skis skid) and you can't bend the shovel of the ski to decamber it effectively to carve a tighter turn and stay on line.
1.2 Really commit forward. Hands forward! Hips forward! Think elbows forward to get your whole CM forward, not just the hands or bending at the waist. The good news is that you only have to remember to do it at a specific point. However big you think your move is, it's probably not big enough--what feels like a huge change is a lot less profound than we typically think.
2. The advice from Woodee (early line two gates ahead) and Slatz (turn from behind before the first fallaway gate) is great, but make sure you aren't making mistakes that makes it hard to take that advice. The flat top of the course is not where you are gaining speed that will carry through the rest--instead, its those first two gates on the steeps where you're losing all the speed. So up on top, sacrifice everything else to get that earlier line that will allow you to not scrub off speed:
2.1 Don't sacrifice a turn for a tuck (and a tuck isn't paying off on that first slow flat section anyway.)
2.2 Don't go nuts skating and poling if that interferes with skiing a clean early line. This advice is a little contrary to general Nastar advice, which is that on those really short, easy courses a powerful start is huge, but given the tip over to steeps, the line is what you need to focus on.
2.3 Don't dive at gates: Complete almost your whole turn before the gate, and as Slatz says, make the full change of direction before popping over the lip, even if that means you've gone wide and turned way early. You may be skiing a longer distance to the finish, but you'll be carrying much more speed, skidding less, and even as you start to skid and get a little later in those turns on the steeps (and you will), you've started with such an early line you can afford to get a little later without having to throw your skis sideways just to stay in the course.
Good luck, and let us know how it goes.
P.S. Which Nastar course? (My advice may be a little off in 2.2 if that top flat section is really long, like Beaver Creek's, where tucking and going nuts on the skating really do make a difference, because you're carrying that speed for a lot of gates before you hit the steeper section.)