Functions and Graphs
Functions and Graphs
Secondary 3
5 marks
Sketch \(y=x^2−5x+6\). Find the \(x\)-intercepts, \(y\)-intercept, axis of symmetry and turning point.
Show how factorisation gives the roots.[5]
Solution:
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Answer:\((x−2)(x−3)=0\); Roots: \(x= 2 \text { or }3\); \(y\)-intercept: \((0,6)\); Axis \(x=2.5\); Vertex \(\left(\frac52,-\frac14\right)\).
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