Transformations of functionsIB MYP Maths Extended: Flashcards

What these 14 flashcards ask

Effect of y=f(x)+a?
Effect of y=f(x+a)?
Effect of y=f(x-3)?
Effect of y=-f(x)?
Effect of y=f(-x)?
Effect of y=kf(x)?
Effect of y=f(kx)?
Which transformations act on the y-coordinate?
Which transformations act on the x-coordinate?
(4,6) lies on y=f(x). Image on y=f(2x)?
(4,6) lies on y=f(x). Image on y=2f(x)?
A minimum point becomes what under y=-f(x)?
How do you describe a transformation fully?
How do you sketch a transformed graph?

Exam questions on Transformations of functions

The graph of $y=f(x)$ has a minimum point at $(2,-1)$ .
Write down the coordinates of the turning point of $y=-f(x)$ , and state whether it is a maximum or a minimum.2 marks
The point $(4,6)$ lies on the graph of $y=f(x)$ .
Find the coordinates of the image of $(4,6)$ on the graph of $y=-f(x+1)$ .2 marks
The graph of $y=x^2$ is transformed to give the graph of $y=(x+3)^2-5$ .
Describe the single transformation, and write down the coordinates of the vertex 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).