Given that kkk is a positive constant,
on separate diagrams, sketch the graph with equation
(i) y=k−3∣x∣y = k - 3|x|y=k−3∣x∣
(ii) y=∣3x−k2∣y = \left| 3x - \frac{k}{2} \right|y=3x−2k
Show on each sketch the coordinates, in terms of kkk, of each point where the graph meets or cuts the axes.
Hence find, in terms of kkk, the values of xxx for which
∣3x−k2∣=k−3∣x∣ \left| 3x - \frac{k}{2} \right| = k - 3|x| 3x−2k=k−3∣x∣giving your answers in simplest form.
