Quadratic graph with an added line
Quadratic graph with an added line
Secondary 2
12 marks
TGM Original Questions
Optional extension
For \(y=x^2-4x-5\):
- find missing table values \(m,n\)[2]
- draw the graph for \(-2\le x\le6\)[2]
- state its symmetry line[2]
- solve \(x^2-4x-5=4\) graphically[2]
- draw \(y=-x+1\)[2]
- 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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