Given a graph of y = f(x) how do you sketch a graph of y = f(x)+4, y = f(x-5), y = -f(x+4) or any other similar transformations

For y = f(x)+4: the graph undergoes a translation of (0,4) For y = f(x-5): the graph undergoes a translation of (5,0) For y = -f(x+4): the graph is reflected w.r.t the x-axis and translated by (-4,0)*imagine all translations as column vectors, I cannot work out how to type them like that.
For these questions getting the student to learn and also understand the rules and learn where they come from is key so in an exam they are able to figure them out for themselves. The method of using a set of x-values (e.g -2,-1,0,1,2) and putting them through both the original function and the altered one might be a good way to help students understand and would be good to teach as a back-up incase they forget when in an exam.

Answered by Jack E. Maths tutor

3248 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Five numbers have a mean of 9.4 . Four of the numbers are 3, 5, 10 and 12. Work out the range of the five numbers. ( 4 marks )


Factorise x^2+3x-4


A right angled triangle with sides 7cm and 11cm, find the hypotenuse


Factorise x^2 + 2x – 15


We're here to help

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