Quadratic Functions, Equations and Inequalities - Quadratic Graphs and Applications
Quadratic Functions, Equations and Inequalities - Quadratic Graphs and Applications
6 marks
Let \(f(x) = p(x - q)(x - r)\). Part of the graph of \(f\) is shown below.
The graph passes through the points \( (-2,0), (0, -4) \) and \( (4, 0) \).
- Write down the value of \(q\) and \(r\).[2]
- Write down the equation of the axis of symmetry.[1]
- Find the value of \(p\).[3]
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Answer:(a) \(q=-2,r=4\) or \(q=4,r=-2\) (b) \(x=1\) (c) \(p=\dfrac12\)
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