Exploring Function Transformations and Their Effects

The video tutorial provides a comprehensive overview of function transformations, focusing on how the values of A, B, C, and D affect the function f(x). It covers vertical transformations with A, horizontal transformations with B, reflections with negative values of A and B, and shifts with C and D. The tutorial includes graphical examples and concludes with practical examples to identify and describe transformations.

What happens to the graph of f(x) when the value of 'A' is greater than 1?

• It reflects across the x-axis.

• It compresses horizontally.

• It stretches vertically.

• It shifts to the right.

If 'A' is between 0 and 1, how is the graph of f(x) affected?

• It stretches horizontally.

• It compresses vertically.

• It shifts downwards.

• It reflects across the y-axis.

When 'B' is greater than 1, what transformation occurs to the graph of f(x)?

• It stretches vertically.

• It reflects across the x-axis.

• It compresses horizontally.

• It shifts to the left.

How does the graph of f(x) change when 'B' is between 0 and 1?

• It reflects across the y-axis.

• It shifts upwards.

• It compresses vertically.

• It stretches horizontally.

What happens to the graph of f(x) when 'A' is negative?

• It reflects across the x-axis.

• It stretches horizontally.

• It shifts to the right.

• It compresses vertically.

If 'B' is negative, how is the graph of f(x) transformed?

• It reflects across the y-axis.

• It stretches vertically.

• It compresses horizontally.

• It shifts downwards.

What is the effect of 'C' on the graph of f(x) when it is positive?

• It stretches the graph vertically.

• It shifts the graph to the right.

• It shifts the graph to the left.

• It compresses the graph horizontally.

How does the graph of f(x) change when 'C' is negative?

• It shifts the graph to the right.

• It shifts the graph to the left.

• It compresses the graph vertically.

• It stretches the graph horizontally.

What transformation occurs when 'D' is positive?

• The graph compresses vertically.

• The graph shifts downwards.

• The graph stretches horizontally.

• The graph shifts upwards.

If 'D' is negative, how is the graph of f(x) affected?

• It shifts downwards.

• It compresses horizontally.

• It shifts upwards.

• It stretches vertically.