Quadratic graph with an added line

Quadratic graph with an added line

Secondary 2
TGM Original Questions

For \(y=x^2-4x-5\):

  1. find missing table values \(m,n\)
  2. draw the graph for \(-2\le x\le6\)
  3. state its symmetry line
  4. solve \(x^2-4x-5=4\) graphically
  5. draw \(y=-x+1\)
  6. give the positive intersection abscissa.
\(x\)-\(2\)-\(1\)\(0\)\(1\)\(2\)\(3\)\(4\)\(5\)\(6\)
\(y\)\(7\)\(0\)-\(5\)-\(8\)\(m\)-\(8\)-\(5\)\(0\)\(n\)

Solution:

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Answer:(a) \(m=-9,n=7\); (c) \(x=2\); (d) \(x\approx-1.61,5.61\); (f) \(x\approx4.37\).

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