Graph Transformations and Their Effects

This video tutorial covers the transformations of trigonometric graphs, focusing on reflections and translations. It begins with an introduction to the topic and a recap of necessary transformations at the GCSE level. The video then reviews the sine, cosine, and tangent graphs, followed by examples of applying transformations such as reflections in the x-axis and y-axis, and vertical and horizontal translations. The tutorial concludes with a reflection on the importance of understanding key points in graph transformations.

What is the main focus of the video?

• Transformations of algebraic graphs

• Transformations of trigonometric graphs

• Graph plotting techniques

• Basic trigonometry

Which videos are recommended to watch before this one?

• Videos on transformations of graphs and trig graphs

• Videos on algebraic transformations

• Videos on geometry

• Videos on calculus

What are the two main types of transformations discussed?

• Reflections and translations

• Rotations and translations

• Translations and dilations

• Reflections and rotations

What does the transformation y = -f(x) do to a graph?

• Reflects it in the y-axis

• Translates it downwards

• Reflects it in the x-axis

• Translates it upwards

What does the transformation y = f(-x) do to a graph?

• Translates it to the right

• Translates it to the left

• Reflects it in the x-axis

• Reflects it in the y-axis

What effect does adding a constant outside the function have?

• Stretches the graph

• Translates the graph vertically

• Reflects the graph

• Translates the graph horizontally

What is the range of degrees for the sine graph at GCSE level?

• 0 to 180 degrees

• 0 to 90 degrees

• 0 to 360 degrees

• 0 to 270 degrees

What happens to the sine graph when reflected in the x-axis?

• It shifts upwards

• It shifts downwards

• It flips vertically

• It flips horizontally

What is the effect of reflecting the sine graph in the y-axis?

• It flips horizontally

• It flips vertically

• It shifts to the right

• It shifts to the left

How does adding 1 to the cosine function affect its graph?

• Moves it one unit to the right

• Moves it one unit to the left

• Moves it one unit upwards

• Moves it one unit downwards