11/26/2022 0 Comments Graphmatica basics![]() Below is a quick-start introduction to Graphmatica. Graphmatica draws mathematical graphs, like: It works well for IB Math Portfolio work. – Borland Delphi 7 – Tutorial – Creating a Websnap. The main limitation of Graphmatica is that it cannot plot points entered by the user. Uh This is the best one to come up with.This module covers the use of the graphing software, Graphmatica, to teach selected mathematics topics in the secondary school mathematics syllabi. And there's another aspect to now you could definitely use a different scaling. ![]() So now I'm gonna go over 123, I'm gonna come up to 1123. So my graph a little bit stretched out here based upon my scaling looks something like this. So if you go over 123 and from here 123 this is going to go down to negative one and then 123, this is gonna go up to positive one. So um as we said before in the middle, so this is the middle. So it goes to negative one and one because that's what tangent is here and here. Then between these two points here we're gonna have our low and our high values. Remember we did a phase shift of pi over three, tangent starts at zero, We didn't go up or down any, so we're gonna go over two pi over three. Now exactly halfway between these is going to be something on the midline. If you were to calculate that out, this is where five pi over six is landing. That's going to be our next critical value, then 123, that's going to be our next one, then 123, that'll be another one and then 123, that's going to be our last one where the other asthma toad is or a distance of pie. So I'm gonna go over a distance of three, so I'll have 123. So over four and 12 is equivalent to three pi over 12. So then from there, remember the distance with these values as part of a four And there was no stretching or condensing. So if I'm counting by pi over 12 here is going to be one of my asthma toads. So 55 or six minus pi is gonna land us at negative five or six. So what I can do is identify one of our possible um as um toads by subtracting the period. #Graphmatica basics plusSo as a reminder, our first thing was at 55 or six plus pi N. So this is going to be just really helpful for us when we're going to do our sketching. Okay then we have um five pi over 12 which again is not going to be anything Then 65 or 12 is Pi over two. So this is what's going to be really helpful for us. Um But I skipped because I skipped 445 or 12 is by over three. So if I count by pi over 12 to pi over 12 is pi over six, three pi over 12 is pi over four 5, 5 or 12 is not going to simplify. I think it might be good for us to count by pi over 12. ![]() So thinking about the the distance between those values as well as the phase shifting and the ASM toad equation. So if I did pi divided by four, I get pi over four, but we have to keep in mind that we do have a shifting pi over three. It's zero pi over four pi over 23 pi over four and pi and they're each equal distances away. So to determine how we're gonna do our scaling, I always take the period and divided by four because there's four main points that we use for tangent on the unit circle. It has one ASM toad at five pi over six and then we always add a period because it's going to be at the beginning of the end. ![]() So for our ASM toads, I'd like to write an equation for this. To see after our face shift, where is it going to land? So what I'm going to do here is add pi over two plus pi over three or really you're doing one half plus one third When you condense that together, you get the answers of 56 So X. So to figure out where one of our assistants are going to be, we can take the input the x minus pi over three and set it equal to pi over two. So what we're looking for undefined is where is Kasim equal to zero. So what you have to think about for a tangent is where is tangent first? Undefined? Well tangent is sine over cosine. So we need to figure out where our ASM totes are going to be. So this in this case here we're going to be moving it to the right pi over three. So the phase shift is going to affect us moving left or right. The next thing we want to do is identify your period since we have no stretching or um condensing of any kind tangents period is pi So we're gonna leave it at pi however, we do have ourselves a phase shift. But we don't have any stretching or compression here thankfully for that. Which would be a horizontal stretch of compression. So to begin with for our stretching factor, that number is found either on the outside here, which would be a vertical stretch of compression or inside next to the X. So identify your stretching factor, your period and then your assume totes. Okay, so we're going to be sketching the graph of Tan FX -9/3. ![]()
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