Symmetric paired points on a parabola

Symmetric paired points on a parabola

Secondary 2
TGM Original Questions

For \(y=\frac15(15x-x^2)\):

  1. find missing table value \(p\)
  2. draw the graph for \(0\le x\le15\)
  3. points \((4,k),(h,k)\) lie on it—find
    1. \(k\),
    2. \(h\)
  4. solve \(\frac15(15x-x^2)=0\)
  5. state the maximum value.
\(x\)\(0\)\(2\)\(4\)\(6\)\(8\)\(10\)\(12\)\(14\)\(15\)
\(y\)\(0\)\(5.2\)\(8.8\)\(10.8\)\(p\)\(10\)\(7.2\)\(2.8\)\(0\)

Solution:

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Answer:(a) \(p=11.2\); (c)(i) \(k=8.8\); (ii) \(h=11\); (d) \(x=0,15\); (e) \(11.25\).

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