IB skill practice

Complete the square for quadratic functions

Convert an expanded quadratic into vertex form, then identify the vertex, axis of symmetry, and range using IB-style reasoning.

Paper 1 5 marks Difficulty 2

Complete the square and identify vertex features

The quadratic \(f(x)=-x^{2}+8x-10\) can be written as \(f(x)=-(x-4)^{2}+6\). State \(a\), \(h\), \(k\), the vertex, axis, and range.

Worked practice: quadratic features

Use the vertex-form information to state the graph features in order.