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).

JB
Answered by Jesper B. Maths tutor

7447 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The curve C has equation y = f(x) where f(x) = (4x + 1) / (x - 2) and x>2. Given that P is a point on C such that f'(x) = -1.


How do I intregrate ln(x)?


Differentiate cos(2x^3)/3x


Simplify: (3x+8)/5 > 2x + 1


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