GCSE Secondary Maths Age 13-17 - Graphs: Transformation of Graphs - Explained

The video tutorial explains graph transformations, focusing on sine and cosine graphs. It classifies the task as an A star question due to the knowledge required. The tutorial covers how changes outside the function affect the Y coordinate, while changes inside affect the X coordinate. It demonstrates transforming the sine graph by translating it upwards and the cosine graph by reflecting and stretching it. The tutorial emphasizes understanding the effects of transformations on graph coordinates.

What is the primary focus when dealing with transformations of sine and cosine graphs?

• Difficulty of the problem

• Strategic planning

• Memorizing formulas

• Knowledge of graph transformations

When a change is outside the function, which coordinate does it affect?

• Y coordinate

• X coordinate

• Both X and Y coordinates

• Neither X nor Y coordinates

How does the graph of Y = sin(X) + 2 differ from Y = sin(X)?

• It is translated 2 units upwards

• It is compressed vertically

• It is reflected over the X-axis

• It is shifted 2 units to the right

What happens to the Y coordinates when graphing Y = -2 * cos(X)?

• They are multiplied by -2

• They are halved

• They remain unchanged

• They are doubled

What transformation occurs when Y = -2 * cos(X) is graphed?

• Vertical compression

• Reflection over the Y-axis

• Reflection over the X-axis and vertical stretch

• Horizontal stretch