How can functions be transformed?

A function, y = f(x), with y on the vertical axis and x on the horizontal axis, can be transformed by 3 different ways: It can be stretched (or shrunk)If y = f(ax), the function is stretched by a scale factor 1/a parallel to the x-axis.If y = af(x), the function is stretched by a scale factor a parallel to the y-axis.It can be translated (moved)If y - a = f(x) and hence y = f(x) + a, the function is moved a units in the y direction.If y = f(x-a), the function is moved a units in the x direction.It can be reflected If y = f(-x), the function is reflected in the y-axis as all the values of x become negative.If y = -f(x), the function is reflected in the x-axis as all the values of y become negative.

JM
Answered by Jack M. Maths tutor

2818 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How to differentiate a bracket raised to a power i.e. chain rule


A stone is thrown from a bridge 10m above water at 30ms^-1 30 degrees above the horizontal. How long does the stone take to strike the water? What is its horizontal displacement at this time?


Find the minimum value of the function, f(x) = x*exp(x)


The equation x^2 + 3px + p = 0, where p is a non-zero constant, has equal roots. Find the value of p.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences