Plot a function in 3D that can be either positive or negative?

Hello, I have to plot a 3D function that is described by: y= +- (B/2)[1-(2*x/L)^2][1-(2*z/T)^2].

I have B=1.2, L=4, T=0.5, -2<=x<=2 and -0.5<=z<=2.

I know I have to make two matrices from x and z using meshgrid and then get the value of matrix y from the corresponding equation so I substituted the values of B,L and T in the equation and simplified it. Here is my code:

x=-2:2;
z=-0.5:0.5:2;
[X,Z]=meshgrid(x,z)
Y=(2.4.*X.^2.*Z.^2 - 9.6.*Z.^2 - 0.15.*X.^2 + 0.6);
mesh (X,Y,Z)
grid off
xlabel('x'); ylabel('y'); zlabel('z');

It runs and I see a figure close to the real shape but not the real shape because the function has +- at the beginning of it (+ or -) and I don't know how to write this in Matlab. I uploaded the figure it should looks like and my figure for comparison, any help will be much appreciated. Thanks in advance

Answer 1

[Mischa Kim]

Mahmoud, a quick fix would be to add

 hold on
 Y = -(2.4.*X.^2.*Z.^2 - 9.6.*Z.^2 - 0.15.*X.^2 + 0.6);
 mesh (X,Y,Z)

As an alternative, you could - it looks like - solve for z(x,y).