IB Functions Problem 010

Let \(f(x)=p(x-q)(x-r)\).

Part of the graph of \(f\) is shown below.

image essential to understanding the question

It passes through the points \((-2; 0)\), \((0; -4)\) and \((4 ; 0)\).

  1. Find the value of \(q\) and of \(r\).
  2. Write down the equation of the axis of symmetry.
  3. Find the value of \(p\).
Published by Annie Bernatchez in «functions». Key Words: IB, question