Curve tracing : paraboloid [closed]
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I know the equation $ x^2+y ^2=-z $ is paraboloid along negative z axis passing through origin...but what if there is absolute constant term in this equation...
eg. $ x^2+y ^2=-z+2 $
what type of paraboloid is this now??
3d surfaces curves
closed as off-topic by amWhy, José Carlos Santos, Simply Beautiful Art, Isaac Browne, Adrian Keister Aug 3 at 0:02
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – amWhy, José Carlos Santos, Simply Beautiful Art, Isaac Browne, Adrian Keister
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I know the equation $ x^2+y ^2=-z $ is paraboloid along negative z axis passing through origin...but what if there is absolute constant term in this equation...
eg. $ x^2+y ^2=-z+2 $
what type of paraboloid is this now??
3d surfaces curves
closed as off-topic by amWhy, José Carlos Santos, Simply Beautiful Art, Isaac Browne, Adrian Keister Aug 3 at 0:02
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – amWhy, José Carlos Santos, Simply Beautiful Art, Isaac Browne, Adrian Keister
1
It's shifted up by $2$
– Rumpelstiltskin
Aug 2 at 15:16
It's still a paraboloid.
– poyea
Aug 2 at 15:16
@Adam Shifted ...u mean along z axis??
– user580502
Aug 2 at 15:18
Welcome to MSE. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to.
– José Carlos Santos
Aug 2 at 15:21
@JoséCarlosSantos ok thnks!! :)
– user580502
Aug 2 at 15:27
 |Â
show 1 more comment
up vote
1
down vote
favorite
up vote
1
down vote
favorite
I know the equation $ x^2+y ^2=-z $ is paraboloid along negative z axis passing through origin...but what if there is absolute constant term in this equation...
eg. $ x^2+y ^2=-z+2 $
what type of paraboloid is this now??
3d surfaces curves
I know the equation $ x^2+y ^2=-z $ is paraboloid along negative z axis passing through origin...but what if there is absolute constant term in this equation...
eg. $ x^2+y ^2=-z+2 $
what type of paraboloid is this now??
3d surfaces curves
edited Aug 2 at 15:28
asked Aug 2 at 15:14
user580502
83
83
closed as off-topic by amWhy, José Carlos Santos, Simply Beautiful Art, Isaac Browne, Adrian Keister Aug 3 at 0:02
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – amWhy, José Carlos Santos, Simply Beautiful Art, Isaac Browne, Adrian Keister
closed as off-topic by amWhy, José Carlos Santos, Simply Beautiful Art, Isaac Browne, Adrian Keister Aug 3 at 0:02
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – amWhy, José Carlos Santos, Simply Beautiful Art, Isaac Browne, Adrian Keister
1
It's shifted up by $2$
– Rumpelstiltskin
Aug 2 at 15:16
It's still a paraboloid.
– poyea
Aug 2 at 15:16
@Adam Shifted ...u mean along z axis??
– user580502
Aug 2 at 15:18
Welcome to MSE. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to.
– José Carlos Santos
Aug 2 at 15:21
@JoséCarlosSantos ok thnks!! :)
– user580502
Aug 2 at 15:27
 |Â
show 1 more comment
1
It's shifted up by $2$
– Rumpelstiltskin
Aug 2 at 15:16
It's still a paraboloid.
– poyea
Aug 2 at 15:16
@Adam Shifted ...u mean along z axis??
– user580502
Aug 2 at 15:18
Welcome to MSE. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to.
– José Carlos Santos
Aug 2 at 15:21
@JoséCarlosSantos ok thnks!! :)
– user580502
Aug 2 at 15:27
1
1
It's shifted up by $2$
– Rumpelstiltskin
Aug 2 at 15:16
It's shifted up by $2$
– Rumpelstiltskin
Aug 2 at 15:16
It's still a paraboloid.
– poyea
Aug 2 at 15:16
It's still a paraboloid.
– poyea
Aug 2 at 15:16
@Adam Shifted ...u mean along z axis??
– user580502
Aug 2 at 15:18
@Adam Shifted ...u mean along z axis??
– user580502
Aug 2 at 15:18
Welcome to MSE. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to.
– José Carlos Santos
Aug 2 at 15:21
Welcome to MSE. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to.
– José Carlos Santos
Aug 2 at 15:21
@JoséCarlosSantos ok thnks!! :)
– user580502
Aug 2 at 15:27
@JoséCarlosSantos ok thnks!! :)
– user580502
Aug 2 at 15:27
 |Â
show 1 more comment
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1
It's shifted up by $2$
– Rumpelstiltskin
Aug 2 at 15:16
It's still a paraboloid.
– poyea
Aug 2 at 15:16
@Adam Shifted ...u mean along z axis??
– user580502
Aug 2 at 15:18
Welcome to MSE. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to.
– José Carlos Santos
Aug 2 at 15:21
@JoséCarlosSantos ok thnks!! :)
– user580502
Aug 2 at 15:27