1. The problem statement, all variables and given/known data Does the surface [itex] z = x^2 + y^2 - 4 [/itex] * intersects the [itex] yz [/itex]-plane? If so, find the equation of the curve and write down the points of intersection. 3. The attempt at a solution [itex]yz-[/itex]plane, so [itex] x=0 [/itex] 1) * becomes [itex] z = y^2 - 4 [/itex] and this is the equation of the curve that intersects the [itex] yz[/itex]-plane. 2) So the intersection points are [itex] (0,-2,0) [/itex] and [itex] (0,2,0) [/itex] Are 1) and 2) correct? Thanks in advance!