Equations or code that can generate shapes

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SAMUEL AYINDE on 13 Oct 2018
Edited: SAMUEL AYINDE on 13 Oct 2018
I have x and y coordinates of a n*2n grid fixed grid. I have generated circular shape (circle.JPG) with
sqrt((x-cx).^2 +(y-cy).^2)-r, where (cx, cy) are the centre and r is the radius of the circle
I have generated elliptical shape (ellipse.JPG) with
((x-cx)/a).^2 +((y-cy)/b).^2)-1, where (cx, cy) are the centre and a is the horizontal radius and b is the vertical radius of the ellipse
I need a code that can generate each of the following shapes in the picture (Picture_1.jpg).
Thank you so much.
Image Analyst on 13 Oct 2018
And you were not able to adapt the code I gave below???
SAMUEL AYINDE on 13 Oct 2018
Edited: SAMUEL AYINDE on 13 Oct 2018
No, I do not know how to adapt it. For convenience, find the attached signeddistance.m file for you to get a better understanding of what I am talking about. The attached code can generate the shape for rectangle, ellipse and circle using signed distance if you run the portion corresponding to each shape. I need a code that can give the shapes in the picture above using signed distance. Thank you so much.
I have posed the question in a better way here:

Image Analyst on 13 Oct 2018
Try this:
period = 10;
amplitude = 4;
offset = 6;
x = linspace(0, 40, 700);
y = amplitude * cos(2 * pi * x / period) + offset;
plot(x, y, 'b-', 'LineWidth', 2);
grid on;
ylim([0, amplitude + offset]);
For the triangle wave, use sawtooth() or repmat(). I'm sure you can figure it out because you're a smart engineer.