2024 VJC P1 Q8

2024 VJC P1 Q8

4 marks
Prelims
  1. The curve \({{C}_{1}}\) undergoes the transformations in the order given below:
    1. A translation of \(2\) units in the negative \(x\) direction.
    2. A stretch parallel to the \(x\) axis, factor 2, \(y\) axis invariant.
    3. A translation of 1 unit in the positive \(y\) direction.
    The resulting curve \({{C}_{2}}\) has equation \(y=\frac{{{x}^{2}}+9x+22}{x+4},\) \(x\in R\), \(x\ne -4\)
    Find, in the simplest form, the equation for \({{C}_{1}}\).[4]

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Answer:C₁: y = 2x + 1/x, x ≠ 0

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