Transformations of Graphs: Reflections

The video tutorial explains the concept of reflections in mathematics, focusing on how functions can be reflected across the X and Y axes. It demonstrates these reflections using specific functions, such as F(x) = x^2 - 2 and F(x) = x^2 - 2x, and explains the effects of these transformations on the graph. The tutorial also discusses the importance of understanding the order of transformations, linking it to BIDMAS, and emphasizes the impact on X and Y coordinates.

What is the result of reflecting a function in the Y axis?

• The function is shifted downwards.

• The function is shifted upwards.

• The Y coordinates are reversed.

• The X coordinates are reversed.

When a function is multiplied by -1, what transformation occurs?

• Vertical translation

• Horizontal translation

• Reflection in the X axis

• Reflection in the Y axis

How does multiplying the input of a function by -1 affect the graph?

• It compresses the graph horizontally.

• It stretches the graph vertically.

• It reflects the graph in the Y axis.

• It reflects the graph in the X axis.

What happens to the input values when a function is reflected in the Y axis?

• They are multiplied by 2.

• They are reversed.

• They are divided by 2.

• They remain unchanged.

Which transformation is applied first according to the order of operations?

• Horizontal translation

• Vertical translation

• Reflection in the Y axis

• Reflection in the X axis

What is the effect of a transformation happening outside the brackets?

• It affects the X coordinates.

• It affects the Y coordinates.

• It affects both X and Y coordinates.

• It has no effect.

Which of the following is NOT a type of transformation discussed?

• Translation

• Enlargement

• Reflection

• Rotation