0606 P22 - Mar 2025 - Q2 - 9 marks
7196
(a) Find the \(x\)-coordinates of the stationary points on the curve \(y=\frac12(3-2x)(x+2)^2\).
(b) On the axes, sketch the graph of \(y=\frac12(3-2x)(x+2)^2\), stating the intercepts with the coordinate axes.
(c) Find the values of \(k\) for which the equation \(\frac12(3-2x)(x+2)^2=k\) has three real and distinct roots.
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