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Parabola intersected by a parameterised line

Parabola intersected by a parameterised line

Secondary 2
8 marks
TGM Original Questions

Optional extension

The curve \(y=(x-2)(x+4)\) meets the axes at \(A,B,C\).

  1. Find \(A,B,C\). A line \(y-2x=k\) meets the curve at \(P\) and \(Q=(1,q)\).[2]
    1. Find \(q\).[2]
    2. Find \(k\).[2]
  3. Find the coordinates of \(P\).[2]

Solution:

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Answer:(a) \(A=(-4,0),B=(2,0),C=(0,-8)\) (b)(i) \(q=-5\) (ii) \(k=-7\) (c) \(P=(-1,-9)\).

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