Transformations of graphsEdexcel International A Level Maths: Flashcards

What these 13 flashcards ask

What does y=f(x)+a do to the graph?
What does y=f(x+a) do?
What does y=f(x-a) do?
What does y=af(x) do?
What does y=f(ax) do?
What does y=-f(x) do?
The minimum of f is (2,-3). Where is the minimum of f(x)+4?
The minimum of f is (2,-3). Where is the minimum of f(x-3)?
Asymptotes of y=\frac1{x+2}-3?
Period of y=\sin2x?
Maximum value of y=\cos x+2?
First positive asymptote of y=\tan2x?
A point (4,6) lies on y=f(x). Where is its image on y=f(2x)?

Exam questions on Transformations of graphs

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
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
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

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).