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Exam-Style Question on Quadratic Graphs

A mathematics exam-style question with a worked solution that can be revealed gradually

List Of Questions Exam-Style Question More Quadratic Questions More on this Topic

Question id: 359. This question is similar to one that appeared on an IB Standard paper in 2008. The use of a calculator is not allowed.

A function is defined as \(f(x) = 2{(x - 3)^2} - 5\) .

(a) Show that \(f(x) = 2{x^2} - 12x + 13\).

(b) Write down the equation of the axis of symmetry of this graph.

(c) Find the coordinates of the vertex of the graph of \(f(x)\).

(d) Write down the y-intercept.

(e) Make a sketch the graph of \(f(x)\).

Let \(g(x) = {x^2}\). The graph of \(f(x)\) may be obtained from the graph of \(g(x)\) by the two transformations:

(f) Find the values of \(j\), \(k\) and \(s\).

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