Complete the square for the quadratic expression \(2x^2 + 8x + 1\).
Hence sketch the graph of the function \[
f(x) = 2x^2 + 8x + 1,
\] where&nbsp;\(x \in \mathbb{R}\).
Using the sketch, find the range of the function \(f\).

Complete the square for the quadratic expression \(2x^2 + 8x + 1\).

Hence sketch the graph of the function
\[
f(x) = 2x^2 + 8x + 1,
\]
where \(x \in \mathbb{R}\).

Using the sketch, find the range of the function \(f\).

Functions

International Baccalaureate Higher Level Mathematics

Graph of a quadratic function

Graph of a quadratic function