How many intersections?

How many intersections?

Secondary 3
3 marks
TGM Original Questions

The graph shows \(y=x^2-4x+3\).

For each of \(k=0\), \(k=-1\) and \(k=-2\), state the number of distinct real solutions of \(x^2-4x+3=k\). Explain your answers using horizontal lines on the graph.[3]

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Answer:\(k=0\): 2; \(k=-1\): 1; \(k=-2\): 0.

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