Where Can I Find Four Points on an Elliptic Paraboloid Graph?

[ineedhelpnow]

graph the elliptic paraboloid $4x^2+y^2-z=0$. find four distinct points on the graph

View attachment 3245

this is the graph. do i just find four random points now that lay on it?

 

[I like Serena]

this is the graph.

Good!

do i just find four random points now that lay on it?

Yes.

 

[ineedhelpnow]

would points like these work
(0,2,4)
(0, sqrt(3), 3)
(0, sqrt(2), 2)
(0,-1,1)

 

[I like Serena]

would points like these work
(0,2,4)
(0, sqrt(3), 3)
(0, sqrt(2), 2)
(0,-1,1)

Yep!
But wouldn't it be nice to include some point with $x\ne0$?

 

[ineedhelpnow]

i tried that but i wasnt sure if it was on the graph because i noticed that it was longer in the y direction and i couldn't afford to make any mistakes (test question) (Giggle) (didnt know you could edit latex as a global moderator. in that case you probably want to go edit my interval for the length of an arc thread (Rofl))

 

[I like Serena]

i tried that but i wasnt sure if it was on the graph because i noticed that it was longer in the y direction and i couldn't afford to make any mistakes (test question) (Giggle)

Ah well. As long as you're afraid to make mistakes with questions like these, you've come to the right place! (Evilgrin)

 

[I like Serena]

(didnt know you could edit latex as a global moderator. in that case you probably want to go edit my interval for the length of an arc thread (Rofl))

Nope. No need, since I can read it without reformatting it. (Lipssealed)