Let the parabola have the standard form:
From the given points, we have the linear system:
Using this, the system reduces to:
Now you may solve this system to determine in terms of C and T.
You will find then:
I know this is a really off the wall question, and I don't know where else to put it so here goes:
For the past 2 months I've been trying to figure out an equation for a parabolic line, I've tried all methods I can find around the internet, and several contacts have not been able to assist me.
I need to find the equation that satisfies these three points without giving the letters set numerical values:
(0,C) (T,100) (T+100,100)
Any and All help would be greatly appreciated, it'd been burning my brain to find the answer to this
Let the parabola have the standard form:
From the given points, we have the linear system:
Using this, the system reduces to:
Now you may solve this system to determine in terms of C and T.
You will find then:
This is as far as I was able to get also, however when checking it, the values simply decrease from (0,C) and do not satisfy the points (T,100) or (T+100,100), instead it appears to X intercept at ~70-80% of T, whereas it should pass through 100Y at T and again at T+100
YES! Thank you so very much MaxJasper, this is exactly what I was looking for, and now that I see both the answer and all the attempts I made I can see how it was done.
Thank you again, it is GREATLY appreciated
I can see the the transition from your form to his, and thank you for helping me see that mark, However when I tried checking your equation it didn't seem to work. I think the difference is "C-" rather than "+C" I'm unsure how but that seems to be the only conversion difference, thank you too for your assistance