Graph Transformations: Scaling and Reflections

The video tutorial explains how to transform graphs by modifying equations. In Part A, the graph of y = 2F(x) is drawn by doubling the Y coordinates of given points. The process is detailed with examples, and the marking scheme is explained. In Part B, the graph of y = F(-X) is drawn by negating the X coordinates. The tutorial highlights the differences between transformations affecting X and Y coordinates, providing a clear understanding of graph transformations.

What is the effect of the transformation y = 2F(x) on the graph?

• It doubles the x-coordinates.

• It halves the y-coordinates.

• It doubles the y-coordinates.

• It halves the x-coordinates.

If a point on the graph is (4, -1), what will be its new coordinates after applying y = 2F(x)?

• (8, -1)

• (4, -1)

• (8, -2)

• (4, -2)

How many marks are allocated for correctly plotting the graph of y = 2F(x)?

• Two marks

• Three marks

• One mark

• Four marks

What does the transformation y = F(-x) do to the x-coordinates of the graph?

• It squares them.

• It doubles them.

• It halves them.

• It negates them.

If a point on the graph is (1, 3), what will be its new coordinates after applying y = F(-x)?

• (-1, -3)

• (1, 3)

• (1, -3)

• (-1, 3)

What is the main difference between the transformations y = 2F(x) and y = F(-x)?

• Both affect y-coordinates.

• y = 2F(x) affects x-coordinates, y = F(-x) affects y-coordinates.

• y = 2F(x) affects y-coordinates, y = F(-x) affects x-coordinates.

• Both affect x-coordinates.

How many marks are allocated for correctly plotting the graph of y = F(-x)?

• Four marks

• One mark

• Two marks

• Three marks