Ellipses
Here is a pattern for you to experiment with using graph drawing software.
The equations of two of the graphs are: $$\frac{x^2}{36}+\frac{y^2}{16}=1$$ $$x^2 + y^2 = 1$$ Find the equations of the other 8 graphs in this pattern.
How do you know from their equations that all the graphs are symmetrical about both the y-axis and the x-axis?
Draw your own pattern of ellipses and circles.
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