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

7304 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Solve for x, 5sin(x) - 3cos(x) = 2 , in the interval 0<x<2pi


Differentiate y = x^3 + 2x^2 + 4x + 3


Why is the derivative of x^2 equal to 2x?


Given that d/dx(cosx)=-sinx show that d/dx(secx)=secx(tanx)


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