2.6.1

Transformations

Test yourself

Translations

Translations are when we move a graph without changing its shape.

Illustrative background for Vertical translationIllustrative background for Vertical translation ?? "content

Vertical translation

  • Moves a function up or down. For y = f(x):
    • y = f(x) + a moves the graph up by a
    • y = f(x) - a moves the graph down by a
Illustrative background for Horizontal translationIllustrative background for Horizontal translation ?? "content

Horizontal translation

  • Moves a function left or right. For y = f(x):
    • y = f(x + a) moves the graph left by a
    • y = f(x - a) moves the graph right by a

Reflections

Illustrative background for Reflection in the x axisIllustrative background for Reflection in the x axis ?? "content

Reflection in the x axis

  • For a function y = f(x):
    • y = -f(x) gives a reflection in the x axis
Illustrative background for Reflection in the y axisIllustrative background for Reflection in the y axis ?? "content

Reflection in the y axis

  • For a function y = f(x):
    • y = f(-x) gives a reflection in the y axis
Illustrative background for Invariant pointsIllustrative background for Invariant points ?? "content

Invariant points

  • Invariant points are points that don’t change in a transformation (e.g reflection).
  • (0, 1.5) is the invariant point shown in the above reflection.

Jump to other topics

1Number

1.1Using Numbers

1.2Fractions, Decimals & Percentages

1.3Powers & Roots

1.4Accuracy

2Algebra

2.1Introduction to Algebra

2.2Manipulating Algebra

2.3Proofs & Functions

2.4Straight Line Graphs

2.5Common Graphs

2.6Transformations & Tangents

2.7Properties of Graphs

2.8Solving Equations

2.9Inequalities

2.10Sequences

3Ratio

4Geometry

4.1Introduction to Geometry

4.2Triangles & Quadrilaterals

4.3Transformations

4.4Circle Basics

4.5Circle Theorems

4.6Measurements & Units

4.7Calculating Area

4.8Triangle Formulae

4.93D Shapes

4.10Vectors

5Probability

6Statistics

Go student ad image

Unlock your full potential with GoStudent tutoring

  • Affordable 1:1 tutoring from the comfort of your home

  • Tutors are matched to your specific learning needs

  • 30+ school subjects covered

Book a free trial lesson