Grade 10 Exam  >  Grade 10 Notes  >  Mathematics for Grade 10  >  Transformations of Graphs

Transformations of Graphs | Mathematics for Grade 10 PDF Download

What are transformations of graphs?

  • A transformation is simply a change of some sort
  • When it comes to graphs you need to know about two different sorts of transformation:
    • Reflections (using either the x-axis or y-axis as a mirror line)
    • Translations (moving the whole curve in the x and/or y direction)
  • You should be able to recognise these two different sorts of transformation and apply them to a given graph.

How do we recognise and apply them?

If you are given the graph of a function, say y = f(x) then:

  • REFLECTIONS look like this:
    • In x-axis: y = -f(x) (minus outside the function)
    • In y-axis: y = f(-x) (minus inside the function)
  • TRANSLATIONS:
    • + a units in the x direction: y = f(x – a)
    • + b units in the y direction: y = f(x) + b
  • BEWARE the highlighted change of sign!

Tips
Translation by the vector (-3 2) means a translation of -3 in the x direction and +2 in the y direction.Applied to y = f(x) this would give y = f(x + 3) + 2
(Note: the change of sign in the x direction as pointed out in 2. above)

Example : The graph of y = f(x) is shown on the graph below.
On the same graph sketch y = f(x + 3) + 2 

Transformations of Graphs | Mathematics for Grade 10

This is a translation by — 3 in the x direction (ie 3 to the left, note the change of sign again) and + 2 in they direction (ie 2 up).
So we copy the given (slightly unusual) graph in its new position :
Transformations of Graphs | Mathematics for Grade 10

The document Transformations of Graphs | Mathematics for Grade 10 is a part of the Grade 10 Course Mathematics for Grade 10.
All you need of Grade 10 at this link: Grade 10
Are you preparing for Grade 10 Exam? Then you should check out the best video lectures, notes, free mock test series, crash course and much more provided by EduRev. You also get your detailed analysis and report cards along with 24x7 doubt solving for you to excel in Grade 10 exam. So join EduRev now and revolutionise the way you learn!
Sign up for Free Download App for Free
138 videos|67 docs|41 tests

Up next

138 videos|67 docs|41 tests
Download as PDF

Up next

Explore Courses for Grade 10 exam
Related Searches

Transformations of Graphs | Mathematics for Grade 10

,

Semester Notes

,

study material

,

Transformations of Graphs | Mathematics for Grade 10

,

pdf

,

Extra Questions

,

Free

,

ppt

,

Sample Paper

,

mock tests for examination

,

Important questions

,

Previous Year Questions with Solutions

,

Transformations of Graphs | Mathematics for Grade 10

,

MCQs

,

practice quizzes

,

video lectures

,

shortcuts and tricks

,

Objective type Questions

,

Summary

,

Viva Questions

,

Exam

,

past year papers

;