IB skill practice

Identify key features of quadratic functions Free

Find intercepts, axis of symmetry, vertex, domain, and range from a quadratic in expanded or factorised form, with solution language suitable for IB markschemes.

Paper 1 6 marks Difficulty 2 No calculator

Key features of a quadratic

The function \(f\) is defined by \(f(x) = -x^{2} + 4x + 5\), for \(x \in \mathbb{R}\). Find the \(x\)-intercepts, the \(y\)-intercept, the axis of symmetry, the coordinates of the vertex, and hence state the range of \(f\).

Worked practice: read the quadratic graph

Work through the graph features in order. You can type plain text or LaTeX-style notation.