- Which points are best found by inspection?
- Which points are best found by substitution?
- Which points are best found by symmetry?

$x^2+y^2=25$

$\dfrac{(x-1)^2}{9}+\dfrac{(y+2)^2}{16} = 1$

$\dfrac{(x-4)^2}{9}-\dfrac{(y-4)^2}{16} = 1$

What are your favorite examples of this?

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