Graph transformationsEdexcel A-Level Maths: Flashcards

What these 13 flashcards ask

y=f(x)+a describes what transformation?
y=f(x+a) describes what transformation?
y=af(x) describes what transformation?
y=f(ax) describes what transformation?
y=-f(x) describes what transformation?
y=f(-x) describes what transformation?
Where does (3,-2) go on y=2f(-x)+1?
Order for y=af(bx+c)+d?
Which axis intercepts stay fixed under y=af(x)?
Asymptotes of y=\frac1{x+2}+3?
Period of y=\sin(ax)?
Asymptote of y=e^x+c?
What does a reflection in the x-axis do to a maximum?

Exam questions on Graph transformations

The curve $C$ has equation $y=f(x)$ and passes through the point $(3,-2)$ .
Find the coordinates of the image of this point on the curve $y=2f(-x)+1$ .2 marks
The curve $C$ has equation $y=f(x)$ , where $f(x)=x^2-6x+5$ .
Find the coordinates of the minimum point on the curve $y=f(2x)-1$ .2 marks
The curve $C_1$ has equation $y=\cos x$ and the curve $C_2$ has equation $y=3+\cos2x$ , where $x$ is in radians.
Describe fully the sequence of two transformations that maps $C_1$ onto $C_2$ .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).