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

The video tutorial covers the properties of sine and cosine curves, focusing on amplitude, symmetry, and transformations. It explains how to find coordinates of specific points on the sine curve and how to determine the values of A, B, and C in a transformed cosine graph. The tutorial emphasizes understanding graph transformations, including stretches and shifts, and highlights the complexity of the final question.

What is the amplitude of the sine curve discussed in the video?

• 0 to 1

• 2 to -2

• 1 to -1

• 0 to 2

What are the coordinates of point P on the sine curve?

• (270, -1)

• (0, 1)

• (180, 0)

• (360, 1)

How does the cosine curve compare to the sine curve in terms of amplitude?

• It has no amplitude

• It has the same amplitude

• It has a larger amplitude

• It has a smaller amplitude

What happens to the cosine curve when it is stretched with a scale factor of two?

• The amplitude becomes 1

• The amplitude becomes 4

• The amplitude becomes 2

• The amplitude becomes 3

What is the effect of moving the entire cosine graph up by one unit?

• The graph shifts up

• The graph shifts left

• The graph shifts right

• The graph shifts down

How many complete cycles does the transformed cosine graph have from 0 to 360 degrees?

• 4 cycles

• 3 cycles

• 1 cycle

• 2 cycles

What is the value of 'b' in the transformed cosine function discussed?

• 4

• 3

• 2

• 1