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Math Help

BuckGup

How do I graph xy=4? I know it is an ellipse that has asymptotes at the x and y axis. But how to I actually solve it and find out where the vertex is?

ƆԀ S₱▓Ɇ▓cs: i7 6ʇɥפᴉƎ00K (4.4ghz), Asus DeLuxe X99A II, GT҉X҉1҉0҉8҉0 Zotac Amp ExTrꍟꎭe),Si6F4Gb D???????r PlatinUm, EVGA G2 Sǝʌǝᘉ5ᙣᙍᖇᓎᙎᗅᖶt, Phanteks Enthoo Primo, 3TB WD Black, 500gb 850 Evo, H100iGeeTeeX, Windows 10, K70 R̸̢̡̭͍͕̱̭̟̩̀̀̃́̃͒̈́̈́͑̑́̆͘͜ͅG̶̦̬͊́B̸͈̝̖͗̈́, G502, HyperX Cloud 2s, Asus MX34. פN∩SW∀S 960 EVO

Just keeping this here as a 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̌̅̒̾̈́̆͌̌̾̎̽̐̅̏́̈̔͛̀̋̃͊̒̓͗͒̑͒̃͂̌̄̇̑̇͛̆̾͛̒̇̍̒̓̀̈́̄̐͂̍͊͗̎̔͌͛̂̏̉̊̎͗͊͒̂̈̽̊́̔̊̃͑̈́̑̌̋̓̅̔́́͒̄̈́̈̂͐̈̅̈̓͌̓͊́̆͌̉͐̊̉͛̓̏̓̅̈́͂̉̒̇̉̆̀̍̄̇͆͛̏̉̑̃̓͂́͋̃̆̒͋̓͊̄́̓̕̕̕̚͘͘͘̚̕̚͘̕̕͜͜͝͝͝͠͝͝͝͝͠ͅS̷̢̨̧̢̡̨̢̨̢̨̧̧̨̧͚̱̪͇̱̮̪̮̦̝͖̜͙̘̪̘̟̱͇͎̻̪͚̩͍̠̹̮͚̦̝̤͖̙͔͚̙̺̩̥̻͈̺̦͕͈̹̳̖͓̜͚̜̭͉͇͖̟͔͕̹̯̬͍̱̫̮͓̙͇̗̙̼͚̪͇̦̗̜̼̠͈̩̠͉͉̘̱̯̪̟͕̘͖̝͇̼͕̳̻̜͖̜͇̣̠̹̬̗̝͓̖͚̺̫͛̉̅̐̕͘͜͜͜͜ͅͅͅ.̶̨̢̢̨̢̨̢̛̻͙̜̼̮̝̙̣̘̗̪̜̬̳̫̙̮̣̹̥̲̥͇͈̮̟͉̰̮̪̲̗̳̰̫̙͍̦̘̠̗̥̮̹̤̼̼̩͕͉͕͇͙̯̫̩̦̟̦̹͈͔̱̝͈̤͓̻̟̮̱͖̟̹̝͉̰͊̓̏̇͂̅̀̌͑̿͆̿̿͗̽̌̈́̉̂̀̒̊̿͆̃̄͑͆̃̇͒̀͐̍̅̃̍̈́̃̕͘͜͜͝͠͠z̴̢̢̡̧̢̢̧̢̨̡̨̛̛̛̛̛̛̛̛̲͚̠̜̮̠̜̞̤̺͈̘͍̻̫͖̣̥̗̙̳͓͙̫̫͖͍͇̬̲̳̭̘̮̤̬̖̼͎̬̯̼̮͔̭̠͎͓̼̖̟͈͓̦̩̦̳̙̮̗̮̩͙͓̮̰̜͎̺̞̝̪͎̯̜͈͇̪̙͎̩͖̭̟͎̲̩͔͓͈͌́̿͐̍̓͗͑̒̈́̎͂̋͂̀͂̑͂͊͆̍͛̄̃͌͗̌́̈̊́́̅͗̉͛͌͋̂̋̇̅̔̇͊͑͆̐̇͊͋̄̈́͆̍̋̏͑̓̈́̏̀͒̂̔̄̅̇̌̀̈́̿̽̋͐̾̆͆͆̈̌̿̈́̎͌̊̓̒͐̾̇̈́̍͛̅͌̽́̏͆̉́̉̓̅́͂͛̄̆͌̈́̇͐̒̿̾͌͊͗̀͑̃̊̓̈̈́̊͒̒̏̿́͑̄̑͋̀̽̀̔̀̎̄͑̌̔́̉̐͛̓̐̅́̒̎̈͆̀̍̾̀͂̄̈́̈́̈́̑̏̈́̐̽̐́̏̂̐̔̓̉̈́͂̕̚̕͘͘̚͘̚̕̚̚̚͘̕̕̕͜͜͝͠͠͝͝͝͝͠͝͝͝͠͝͝͝͝͝͝ͅͅͅī̸̧̧̧̡̨̨̢̨̛̛̘͓̼̰̰̮̗̰͚̙̥̣͍̦̺͈̣̻͇̱͔̰͈͓͖͈̻̲̫̪̲͈̜̲̬̖̻̰̦̰͙̤̘̝̦̟͈̭̱̮̠͍̖̲͉̫͔͖͔͈̻̖̝͎̖͕͔̣͈̤̗̱̀̅̃̈́͌̿̏͋̊̇̂̀̀̒̉̄̈́͋͌̽́̈́̓̑̈̀̍͗͜͜͠͠ͅp̴̢̢̧̨̡̡̨̢̨̢̢̢̨̡̛̛͕̩͕̟̫̝͈̖̟̣̲̖̭̙͇̟̗͖͎̹͇̘̰̗̝̹̤̺͉͎̙̝̟͙͚̦͚͖̜̫̰͖̼̤̥̤̹̖͉͚̺̥̮̮̫͖͍̼̰̭̤̲͔̩̯̣͖̻͇̞̳̬͉̣̖̥̣͓̤͔̪̙͎̰̬͚̣̭̞̬͎̼͉͓̮͙͕̗̦̞̥̮̘̻͎̭̼͚͎͈͇̥̗͖̫̮̤̦͙̭͎̝͖̣̰̱̩͎̩͎̘͇̟̠̱̬͈̗͍̦̘̱̰̤̱̘̫̫̮̥͕͉̥̜̯͖̖͍̮̼̲͓̤̮͈̤͓̭̝̟̲̲̳̟̠͉̙̻͕͙̞͔̖͈̱̞͓͔̬̮͎̙̭͎̩̟̖͚̆͐̅͆̿͐̄̓̀̇̂̊̃̂̄̊̀͐̍̌̅͌̆͊̆̓́̄́̃̆͗͊́̓̀͑͐̐̇͐̍́̓̈́̓̑̈̈́̽͂́̑͒͐͋̊͊̇̇̆̑̃̈́̎͛̎̓͊͛̐̾́̀͌̐̈́͛̃̂̈̿̽̇̋̍͒̍͗̈͘̚̚͘̚͘͘͜͜͜͜͜͜͠͠͝͝ͅͅͅ☻♥■∞{╚mYÄÜXτ╕○\╚Θº£¥ΘBM@Q05♠{{↨↨▬§¶‼↕◄►☼1♦  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That's not an ellipse, it's hyperbolic. Though, since you said it has asymptotes, you're thinking of the right conic.

You can tell that it's centered at the origin because the expression only has the xy term, the form also tells you that the vertices will be on the line y=x (because it's symmetric about that line) so they'll be at the solutions to the equation xy=4 that satisfy the condition y=x.

"Do as I say, not as I do."

-Because you actually care if it makes sense.

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He who asks is stupid for 5 minutes. He who does not ask, remains stupid. -Chinese proverb. 

Those who know much are aware that they know little. - Slick roasting me

Spoiler

AXIOM

CPU- Intel i5-6500 GPU- EVGA 1060 6GB Motherboard- Gigabyte GA-H170-D3H RAM- 8GB HyperX DDR4-2133 PSU- EVGA GQ 650w HDD- OEM 750GB Seagate Case- NZXT S340 Mouse- Logitech Gaming g402 Keyboard-  Azio MGK1 Headset- HyperX Cloud Core

Offical first poster LTT V2.0

 

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6 minutes ago, Clanscorpia said:

Using Wolfram Alpha says one of two things:

-I've already found the solution and I want to check it.

-I give up.

 

Or, occasionally in higher level math courses:

-I just did four of these, they take half an hour to do, and this one is using messy numbers just to piss me off.

"Do as I say, not as I do."

-Because you actually care if it makes sense.

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Just now, Dash Lambda said:

Wolfram Alpha says one of two things:

-I've already found the solution and I want to check it.

-I give up.

 

Or, occasionally in higher level math courses:

-I just did four of these, they take half an hour to do, and this one is using messy numbers just to piss me off.

I did it as a joke lol Plus I prefer Desmos for my laziness needs. Im also not into higher level functions so I dont need all the features

He who asks is stupid for 5 minutes. He who does not ask, remains stupid. -Chinese proverb. 

Those who know much are aware that they know little. - Slick roasting me

Spoiler

AXIOM

CPU- Intel i5-6500 GPU- EVGA 1060 6GB Motherboard- Gigabyte GA-H170-D3H RAM- 8GB HyperX DDR4-2133 PSU- EVGA GQ 650w HDD- OEM 750GB Seagate Case- NZXT S340 Mouse- Logitech Gaming g402 Keyboard-  Azio MGK1 Headset- HyperX Cloud Core

Offical first poster LTT V2.0

 

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1 minute ago, Clanscorpia said:

I did it as a joke, LOL. Plus, I prefer Desmos for my laziness needs. I'm also not into higher level math so I don't need all the features.

I didn't mean to sound serious XP

I only know Desmos as a grapher. I actually use both Desmos and Wolfram rather frequently, 'cause Wolfram's not really the friendliest interface for graphs.

"Do as I say, not as I do."

-Because you actually care if it makes sense.

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