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

The video tutorial covers the transformation of graphs, focusing on how changes inside or outside a function affect the X or Y coordinates. It provides examples of transformations with equations Y = F(X) + 3, Y = F(2X), and Y = F(-X), explaining the inverse operations required. The tutorial emphasizes the importance of understanding these transformations to achieve high marks in exams.

What happens to the X-coordinate when a change is made inside the function?

• It is affected inversely.

• It affects the Y-coordinate.

• It is affected directly.

• It remains the same.

If the function is y = F(x) + 3, what happens to the Y-coordinate of the point (3, -4)?

• (3, -7)

• (3, -4)

• (3, -1)

• (6, -4)

In the transformation y = F(2x), what is the new X-coordinate of the point (3, -4)?

• 0.5

• 6

• 3

• 1.5

What is the effect of the transformation y = F(-x) on the point (3, -4)?

• (-3, 4)

• (3, -4)

• (-3, -4)

• (3, 4)

Which of the following statements is true about transformations?

• Changes inside the function affect the X-coordinate inversely.

• Changes outside the function affect the X-coordinate.

• Changes outside the function affect the X-coordinate inversely.

• Changes inside the function affect the Y-coordinate.