forf(x,y) = 1 -2x^2 - 3y^2

just wondering if someone could please help me find theequation of the curve of intersection of the surface z=f(x,y) with the plane x=1

i can sketch the levelcurves for valuesof c and sketch the cross sections of the surface in the xz and yz planes, will that help?

i couldn't find an example of how to do this type of question in my notes or textbook, so any help would be much appreciated!