Transformations of graphsEdexcel International A Level Maths: Mind map

Exam questions on Transformations of graphs

1. The graph of $y=f(x)$ has a minimum point at $(2,-3)$.
   Find the coordinates of the minimum point of the graph of $y=2f(x+1)$.2 marks
2. The graph of $y=\sin x$, for $0^\circ\le x\le360^\circ$, has a maximum point at $(90^\circ,1)$.
   Find the coordinates of the first maximum point of $y=\sin(x-30^\circ)$ for $x>0^\circ$.2 marks
3. The graph of $y=f(x)$ has equation $y=\frac1x$ for $x\neq0$.
   The graph of $y=f(x)$ is transformed to give the graph of $y=f(x+2)-3$. Describe the transformation and state the equations of the asymptotes of the new graph.3 marks