Property 5
As parabolas are symmetrical, the coordinates of the points will be determined by the length of the parts of the line.
1.
\(5|AO|=|OB|\)
\(\Rightarrow t=?\)
2.
\(2|OB|=|OA|\)
\(\Rightarrow f(x)=?\)
3.
\(5|AO|=3|OB|\)
\(\Rightarrow f(x)=?\)
4.
\(3|OB|=|AO|\)
\(\Rightarrow f(x)=?\)
5.
\(|B-A|=6\ \mathrm{br}\)
\(\Rightarrow k=?\)
6.
\(|B-A|=5\ \mathrm{br}\)
\(r=\samefrac12\)
\(\Rightarrow f(x)=?\)
7.
\(|B-A|=8\ \mathrm{br}\)
\(\Rightarrow k=?\)
8.
\(|B-A|=12\ \mathrm{br}\)
\(\Rightarrow k=?\)