Quadratic and line intersection by graph
Quadratic and line intersection by graph
Secondary 2
8 marks
TGM Original Questions
Optional extension
For \(y=x^2-2x-8\):
- complete the missing table values \(a,b\)[2]
- draw the graph for \(-3\le x\le5\)[2]
- use it to
- find \(x\) when \(y=-8\), and[2]
- solve \(x^2-2x-8=x+2\) by drawing the line \(y=x+2\).[2]
| \(x\) | -\(3\) | -\(2\) | -\(1\) | \(0\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) |
|---|---|---|---|---|---|---|---|---|---|
| \(y\) | \(7\) | \(0\) | \(a\) | -\(8\) | -\(9\) | -\(8\) | -\(5\) | \(b\) | \(7\) |
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) \(a=-5,b=0\) (c)(i) \(x=0,2\) (ii) \(x=-2,5\). (b) See the completed graph.
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