How Do You Sketch the Graph of f(x,y) = 1 - y^2?

[joemama69]

Homework Statement

Sketch the graph of the function f(x,y) = 1 - y^2

Homework Equations

The Attempt at a Solution

see pic

 

[HallsofIvy]

That's a two dimensional graph- it looks like x= 1- y². But you are asked to graph z= f(x,y)= 1- y² in 3 dimensions. The graph is a parabolic cylinder. It's cross section is the parabola z= 1- y² in the yz-plane but it extends infinitely along the x-axis.

 

[joemama69]

ahh brain fart


hows the new pic