🧵 Untitled Thread
Anonymous at Sat, 15 Feb 2025 05:26:35 UTC No. 16586338
Can someone please tell me how to graph any function that don't involve x and y values? I've tried many times searching this but I can't find anything, sure I can memorize the basic graphs, but how do I graph these example functions without x and y table values?
Solving equations is easy, but my weaknesses in math have always been word problems and graphing and mainly because I can't find any consistency on solving them other than x and y tables which will take forever to do.
Anonymous at Sat, 15 Feb 2025 05:34:07 UTC No. 16586344
>>16586338
What do you mean? You get the general idea of what a graph looks like molding it to its generic form. X is linear, coefficients give it angle, a constant -1 next to x moves it horizontally to the right, a constant +1 free moves it upwards. Higher grade i.e. X's power give it another shape, if X is a denominator it gives it another shape and so on.
Anonymous at Sat, 15 Feb 2025 05:37:38 UTC No. 16586347
>>16586338
Could you graph the individual functions on their own? Let's look at example 3 on your list.
You know how to graph, as an example
[math]
y = f(x) = (x+1)^2
[/math]
by translating the function [math]y= x^2[/math] one sample to the left.
Now rescale this by 2 by simply doubling the values at a few sample points and then connect them on a curve. That will give you, visually, [math]y= 2(x+1)^2[/math] simply by knowing the basic x^2 function and doing some translation and rescaling.
Then, on the same set of axes draw the linear function
[math]
y_2 = g(x) = 2x-1
[\math] by setting the y-intercept to -1, and doing the "over 1, up 2" way of handling the slope.
Now that you've got the first two functions drawn on the same graph, at every point on your axes, draw the final plot by subtracting the y-value of the line from the y-value of the first graph you drew.
Anonymous at Sat, 15 Feb 2025 05:45:02 UTC No. 16586351
>>16586338
Even AI can understand how to do it, anon you are so deep fried...
This code generates the content of a .svg file to draw a flower with seven petals using a function in polar coordinates.
https://godbolt.org/z/EGv6GG5E7
Anonymous at Sat, 15 Feb 2025 05:57:40 UTC No. 16586358
>>16586338
nigga I hope you're trolling
1 at Sat, 15 Feb 2025 09:02:01 UTC No. 16586465
>>16586338
https://www.wolframalpha.com/input?
Anonymous at Sat, 15 Feb 2025 09:04:06 UTC No. 16586467
>>16586344
>>16586347
>>16586358
So you're telling me you could graph all of these on your own without using Desmos and X and Y tables?
2 at Sat, 15 Feb 2025 09:08:37 UTC No. 16586470
>>16586338
https://www.wolframalpha.com/input?
4 at Sat, 15 Feb 2025 09:14:35 UTC No. 16586475
>>16586338
https://www.wolframalpha.com/input?
5 at Sat, 15 Feb 2025 09:19:37 UTC No. 16586478
>>16586338
https://www.wolframalpha.com/input?
Anonymous at Sat, 15 Feb 2025 12:09:23 UTC No. 16586557
>>16586467
Yes. Some of them wouldn't be all that fast, but the functions you've presented are doable based on knowing the basic shapes of a few reference functions, doing translation/scaling and doing adding/subtracting at particular reference points (which is kind of like a table, but you don't really need to write out a massive table to put a few important points down and draw the rest of the shape around it).
Anonymous at Mon, 17 Feb 2025 02:23:54 UTC No. 16588665
>>16586338
protip, your scientific calculator probably has a table function. do what you want with that information. if you still don't know what to do, yngmi.
Anonymous at Mon, 17 Feb 2025 08:00:08 UTC No. 16588924
>>16588665
I can't use graphing calculators on exams