How do changes to the coefficient of x affect the graph y = f(x) as opposed to changes to the coefficient of f(x)?

If you change the coefficient of x, it will stretch or squash the graph in the x direction by the reciprocal of the factor that the coefficient is changed by. If you change the coefficient of f(x), then the graph will be stretched or squashed in the y direction by the same factor that the coefficient is changed by. The graph is stretched or squashed about the origin.
E.g. if the graph y = f(x) has a maximum at (4,7), then the graph y = 2f(x) will have a maximum at (4,14), but the graph of y = f(2x) will have a maximum at (2,7).

Answered by Jesper B. Maths tutor

7297 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How to differentiate tan(x)?


Find the value of 4!/0!


How do you go about differentiating a^x functions?


Given that x = 1/2 is a root of the equation 2x^3 – 9x^2 + kx – 13 = 0, find the value of k and the other roots of the equation.


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