Algebraic reading of a quadratic curve

Algebraic reading of a quadratic curve

Secondary 2
8 marks
TGM Original Questions

The curve \(y=x^2-4x-12\) cuts the axes at \(P,Q,R\).

  1. Find \(R\).[2]
  2. A point \(A(x,9)\) lies on it; find possible \(x\).[2]
  3. Given \(Q=(6,0)\), find \(P\).[2]
  4. Find the minimum value and its \(x\)-coordinate.[2]

Solution:

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Answer:(a) \(R=(0,-12)\) (b) \(x=-3,7\) (c) \(P=(-2,0)\) (d) minimum \(-16\) at \(x=2\).

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