So now we're going to learn how to take points on the graph and turn them into a curve, as well as how to shift that curve on the graph. We're also going to learn how to shift curves just visually with no math. It's a tool we'll use quite often in this class. So let's go ahead and look on the graph here. You'll see I have the points from the previous video where we learned how to put points on the graph. I've got those points here already. So when we're turning points into a curve, what we do is we start at the leftmost point and we work our way rightwards. Okay. This one seems pretty simple. It's just going to make a line and, yes, a line is a curve. It's just a straight curve. So this is what this curve may look like right here in green. Alright. I just want to make an example here. I'm going to do something right here on top. Let's say we had points that looked like this. Ignore the other points right now, but let's say there were points like this. There's a specific way we want to connect those. Right? We want to start left to right just like I said. You never want to double back and start going back to the left or back to the right. Let me show you an example here. Right. So these points, we would connect them something like this. Right. And I don't want you to get confused and connect them maybe like this. Right? That's not how we would connect these points. You start at the leftmost point and you go to the right. Cool?
So now let's talk about shifting this green curve right here. How do we shift it on the graph? Let's say someone told us we had to shift this curve, let's say, 2 units to the right. 2 units to the right. Okay? So how do we do that? What we're going to do, and the easiest way I find to do it is I pick the leftmost point, so in this case it would be this point that I'm going to circle here in black, Right? And we're going to move it 2 spaces to the right, so I'm going to count here 2. That's 1 and that's 2 right there. That's going to be our new point that I'll put in blue. Cool? So you do that with your leftmost point and I like to just go straight to the rightmost point and do the same thing. Grab my pen and I'll pick this rightmost point right down here and I'm going to move it 2 spaces to the right. 1, 2. Right? And I'm going to put my point right there, my new point, and now that I have two points, if you just connect these two points you'll have your new line. So I'll do that one in green as well. So here we go. Connecting these two points, we've got our shifted curve. So this new green curve right here, it's shifted 2 to the right. Actually, I'm going to do it in blue so we can see which one's which. So the blue curve has been shifted 2 to the right. Cool? And a lot of times in this class, like I said, we're going to be doing shifting of curves just visually. We're not going to put any math behind it. We're going to have a reason we're shifting the curve, and then we're going to have to see what happens, after we've shifted the curve. And when I say see what happens, we're going to see what happened to the new price and the new quantity. But we'll get more into that in the next chapter. So I'm going to draw a couple graphs here just to explain what I mean by shifting visually. So a lot of times on a test or on a practice problem you're just going to kind of draw a graph kind of willy nilly like this and a lot of them are going to be graphs that look like this. We're going to have an X and remember I suggested having at least 2 colors, and we're going to use those quite often. So in this case what we're going to do is kind of like we did above, on the graph. We're going to shift the red line, to the right. So now it's not 2 units, we're just shifting to the right. Cool? So what you do is you start and you're going to pick a point on the graph. You're going to move it to the right and then you're going to draw a parallel line just like that. Right. So when we do these kinds of shifts what we're doing is looking for these points of intersection. Where this was the point of intersection originally, now we're at this point of intersection here, right? So we would be judging what happened to the price and what happened to the quantity after this shift, Right? So we can make, assessments of that just visually without doing any math. But we'll deal more with analyzing it, when the time comes. Now I'm just trying to expose you to shifting the graphs like that. So let's do a couple more examples here. Now let's shift the red line to the left. So we're going to start with the red line and you can see now if I want to the left, I kinda end up off the graph here. Right? So maybe I can pick a point like a little further down and go to the left here, and now I can draw a parallel line. Right? So you just want to make sure you're going the correct direction, and let's see where our new intersection is. We were here before and now we've moved down there, right? So we will be able to make assessments about price and quantity based on that movement. Cool, a couple more examples here. So now let's move the blue line. Let's see what happens when we move the blue line to the right. So same thing, we're going to pick a point here, move it directly to the right, and draw a parallel line. Cool? So point of intersection was there and now it's there. Alright, now let me get out of the way. I'm going to do one more example here in this last corner. So sometimes we actually have to shift both the lines on the same graph, and that's when it starts to get a little difficult, remembering which line was which. So I like to draw my x so that the original point of intersection is right in the middle. Right? When I'm doing it visually, I just keep that point of intersection in the middle and then I'm going to look at my new points of intersection. So let's say we had to move, let's just move them both to the right in this example. So first let's move the red line to the right. So I'm going to pick a point here, move it to the right, and draw my new line. And now I'm going to draw the blue line, we're also going to shift to the right. So pick a point, go to the right, and draw my new line. So you can see now there's a lot of points of intersection here. It's like which one is the new one, which one's the old one. So you gotta be careful and pick the correct intersection here. So you want to have good eyes at finding these because this is going to happen quite a bit in this class when we're studying demand and supply. So which one did you pick? This This is going to be our new point of intersection right here. Let me go yeah I'll leave it in green so we can see that that's the new point of intersection right there. Cool. So this is how we're going to shift curves visually on the graph and we can also do it mathematically like we did on the left But mostly, we're going to do it like we did on the right in this course. See you in the next video.
