Please correct me, I think I'm starting to make sense of it more consistently somewhat though. Good, Once you get the wavelength consistently correct that will work well.Īnyway those last two questions, max and min with letters was a bit hard, don't get hung up on those. If you input this into the desmos graph, it gives a rough example, but considering it can be moved due to all these just being variables, I'm just answering with what the baseline graph would look like. I'm not sure how to fill in wavelength, the maximum point, and the minimum point. YES, that is perfect, I hope you worked it out with a rough sketch BEFORE you used Desmos. The first lowest point should be (2pi, 1) and the first highest point should be (6pi, 7) At least, I think this is correct. (please include the question so I don't have to go look for it) Melody: I have put my response in the middle of your answers. You can practice by making up your own similar questions, doing them yourself, and then checking your answers with Desmos. You need to understand that when you get each concept you need to practice, practice, practice, or else it will not sink in. And I am happy to keep helping you to understand. Y intercept (remember this is a cos graph)īy the way, I do understand that these new concepts are very hard for you. Im going to substitute some constants to help with the other features. We are both in full agreement that the amplitude is f. Sketch it freehand and see what you get, then check with desmos. The first lowest point should be one, correct?"Ĭorrect except I wanted the actual points, so i want the x value as well as the y value at the highest point. "The first highest point should be seven. Y=fcos(gx) -t (where f, g and t are all positive constants.)Īmplitude, y intercept, midline and wavelength. The wavelength is 2pi/ (the number in front of x, the x pronumeral) ![]() The amplitude is given by the number that sin is multiplied by so the amplitude is 'k' You have to pretend that k and a are just numbers and think about what that would mean. You have treated your graph like it is fixed, it isn't, see how you can drag the a and the k into different numbers? You can check on the desmos graph that i have just given you. I suggest you sketch it freehand to answer these two questions. (These are co-ordinates with both an x and a y value) ![]() I want the maximum point with the smallest positive x value.Īnd I want you to tell me what the first minimum point is too. ![]() NOW, without looking at the desmos graph I want you to tell me what first maximum point is. See if you can do this too for your future graphs. I have made the step equal to one quarter of the wavelgth, then it will always look nice and be easy to read from. I have altered your graph a little so that the x axis is in radians and I have made the step 2pi. I hope these are correct, if not, I apologize, sometimes I struggle when adding new concepts and need a little more guidance. I believe it's being divided by pi, correct? ![]() Question: "What is the coefficient of x, I mean what number is x multipled by?" Thank you Melody! This has been a massive help and I anticipate learning more with you. This post is a continuation of another thread learning Trigonometry with Melody.
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