Give the largest and smallest values of $y$.
Sketch the graph of $y = 3\cos 2x + 2$ on $0 \leq x \leq \pi$.
Using the straight line $y = kx$, where $k$ is a constant, state how many solutions the equation $3\cos 2x + 2 = kx$ has for $0 \leq x \leq \pi$ when $k = -3$.
Using the straight line $y = kx$, where $k$ is a constant, state how many solutions the equation $3\cos 2x + 2 = kx$ has for $0 \leq x \leq \pi$ when $k = 1$.
Using the straight line $y = kx$, where $k$ is a constant, state how many solutions the equation $3\cos 2x + 2 = kx$ has for $0 \leq x \leq \pi$ when $k = 3$.
Using the straight line $y = kx$, where $k$ is a constant, state how many solutions the equation $3\cos 2x + 2 = kx$ has for $0 \leq x \leq \pi$ in each case below.
Fully describe a sequence of transformations that takes the graph of $y = f(x)$ to $y = g(x)$.
Fully describe a sequence of transformations that takes the graph of $y = f(x)$ to $y = h(x)$.