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

The video tutorial covers the basics of plotting a cosine graph for X values between 0 and 360 degrees. It explains how to use a calculator to find key points on the graph and emphasizes the importance of understanding the shape of cosine and sine curves. The tutorial then moves on to graph transformations, demonstrating how to apply a vertical stretch and a horizontal translation to a given graph. The video concludes with a discussion on the effects of these transformations on the graph's coordinates.

What is the cosine of 180 degrees?

• 1

• 0

• -1

• 0.5

What is the amplitude of a cosine graph?

• The distance between peaks

• The width of the graph

• The maximum height from the x-axis

• The number of cycles in 360 degrees

When you multiply a function by 2, what happens to the graph?

• It shifts left

• It stretches vertically

• It compresses horizontally

• It shifts down

How does the graph of y = 2F(x) differ from y = F(x)?

• It is stretched vertically

• It is reflected

• It is compressed vertically

• It is shifted horizontally

What happens to the y-coordinate when the function y = F(x) is transformed to y = 2F(x)?

• It is doubled

• It remains the same

• It is squared

• It is halved

If a function is transformed by subtracting 3 from the x-coordinate, what is the effect on the graph?

• It shifts 3 units to the right

• It shifts 3 units down

• It shifts 3 units up

• It shifts 3 units to the left

What is the inverse operation of subtracting 3 from the x-coordinate in a function?

• Subtract 3

• Add 3

• Multiply by 3

• Divide by 3