Quadratic graph with an added line

Quadratic graph with an added line

Secondary 2
12 marks
TGM Original Questions

Optional extension

For \(y=x^2-4x-5\):

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

For graph readings, give values to the nearest 0.1 unit where an exact value cannot be read from the grid. Use the labelled axes and grid provided.

Solution:

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Answer:(a) \(m=-9,n=7\) (c) \(x=2\) (d) \(x\approx-1.6,5.6\) (f) \(x\approx4.4\). (b) See the completed graph. (e) See the completed graph.

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