2.7.3
Translation
Translations
Translations
Translations are when we move a graph without changing its shape.
![Illustrative background for Vertical translation](https://image-v2.cdn.app.senecalearning.com/2018-03/8c4e281a-fc17-4e98-9f4c-6c6500c79638/desmos-graph%20(30),h_400,q_80,w_640.png)
![Illustrative background for Vertical translation ?? "content](https://image-v2.cdn.app.senecalearning.com/2018-03/8c4e281a-fc17-4e98-9f4c-6c6500c79638/desmos-graph%20(30),h_400,q_80,w_640.png)
Vertical translation
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 translation](https://image-v2.cdn.app.senecalearning.com/2018-03/6eb15461-4f25-4100-b7e4-3b9b607c866d/desmos-graph%20(31),h_400,q_80,w_640.png)
![Illustrative background for Horizontal translation ?? "content](https://image-v2.cdn.app.senecalearning.com/2018-03/6eb15461-4f25-4100-b7e4-3b9b607c866d/desmos-graph%20(31),h_400,q_80,w_640.png)
Horizontal translation
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
1Proof
1.1Types of Numbers
1.2Notation
2Algebra & Functions
2.1Powers & Roots
2.2Quadratic Equations
2.3Inequalities
2.4Polynomials
2.5Graphs
2.7Transformation of Graphs
3Coordinate Geometry
3.1Straight Lines
3.2Circles
3.2.1Equations of Circles centred at Origin
3.2.2Finding the Centre & Radius
3.2.3Equation of a Tangent
3.2.4Circle Theorems - Perpendicular Bisector
3.2.5Circle Theorems - Angle at the Centre
3.2.6Circle Theorems - Angle at a Semi-Circle
3.2.7Equation of a Perpendicular Bisector
3.2.8Equation of a Circumcircle
3.2.9Circumcircle of a Right-angled Triangle
3.3Parametric Equations (A2 only)
4Sequences & Series
4.1Binomial Expansion
5Trigonometry
5.2Trigonometric Functions
5.3Triangle Rules
6Exponentials & Logarithms
6.1Exponentials & Logarithms
7Differentiation
7.1Derivatives
7.2Graphs & Differentiation
7.3Differentiation With Trigonometry and Exponentials
7.4Rules of Differetiation (A2 only)
7.5Parametric & Implicit Differentiation
8Integration
8.1Integration
9Numerical Methods
9.1Finding Solutions
9.2Finding the Area
10Vectors
10.12D Vectors
10.23D Vectors
10.3Vector Proofs
Jump to other topics
1Proof
1.1Types of Numbers
1.2Notation
2Algebra & Functions
2.1Powers & Roots
2.2Quadratic Equations
2.3Inequalities
2.4Polynomials
2.5Graphs
2.7Transformation of Graphs
3Coordinate Geometry
3.1Straight Lines
3.2Circles
3.2.1Equations of Circles centred at Origin
3.2.2Finding the Centre & Radius
3.2.3Equation of a Tangent
3.2.4Circle Theorems - Perpendicular Bisector
3.2.5Circle Theorems - Angle at the Centre
3.2.6Circle Theorems - Angle at a Semi-Circle
3.2.7Equation of a Perpendicular Bisector
3.2.8Equation of a Circumcircle
3.2.9Circumcircle of a Right-angled Triangle
3.3Parametric Equations (A2 only)
4Sequences & Series
4.1Binomial Expansion
5Trigonometry
5.2Trigonometric Functions
5.3Triangle Rules
6Exponentials & Logarithms
6.1Exponentials & Logarithms
7Differentiation
7.1Derivatives
7.2Graphs & Differentiation
7.3Differentiation With Trigonometry and Exponentials
7.4Rules of Differetiation (A2 only)
7.5Parametric & Implicit Differentiation
8Integration
8.1Integration
9Numerical Methods
9.1Finding Solutions
9.2Finding the Area
10Vectors
10.12D Vectors
10.23D Vectors
10.3Vector Proofs
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