Finding Parameters of a Logarithmic Function

Finding Parameters of a Logarithmic Function

Secondary 3

The following shows the graph of \(y = k \log_{2}(1 - x) + a\).

The graph passes through the points \((0, -1)\) and \((-31, 9)\).

Find

  1. the value of \(a\).
  2. \(k\).

The source diagram is schematic and does not consistently represent the stated formula on its numbered scale. Use the two stated coordinates to determine the parameters.

Solution:

Solution locked

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Answer:(i) \(a=-1\). (ii) \(k=2\).

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