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Property 5

As parabolas are symmetrical, the coordinates of the points are determined by the length of the parts of the line.

1.
\(5|AO|=|OB|\)
\(r=?\)
2.
\(2|OB|=|OA|\)
\(f(x)=?\)
3.
\(5|AO|=3|OB|\)
\(f(x)=?\)
4.
\(3|OB|=|AO|\)
\(f(x)=?\)
5.
\(|B-A|=6\)
\(k=?\)
6.
\(|B-A|=5\)
\(r=\samefrac12\)
\(f(x)=?\)
7.
\(|B-A|=8\)
\(k=?\)
8.
\(|B-A|=12\)
\(k=?\)