The video tutorial explains how to identify reflections in mathematical functions. It covers the effects of multiplying by a negative outside or inside a function, which results in reflections over the X or Y axis, respectively. The tutorial also discusses the concept of parent functions, such as X squared, cosine of X, and X cubed, and how understanding these can help determine where multiplication occurs. Practical examples are provided to illustrate these concepts, emphasizing the importance of identifying whether multiplication is inside or outside the function to determine the axis of reflection.

What happens when you multiply a function by a negative number outside the function?

• It shifts upwards.

• It shifts downwards.

• It reflects over the X-axis.

• It reflects over the Y-axis.

Which of the following is a parent function?

• X to the power of 4

• Tangent of X

• Sine of X

• X squared

If a function is multiplied by a negative number inside, which axis does it reflect over?

• X-axis

• Y-axis

• No reflection occurs

• Z-axis

In the example of cosine, where is the multiplication occurring if it reflects over the Y-axis?

• Outside the function

• Inside the function

• At the end of the function

• At the origin

What is the main factor that determines the axis of reflection in a function?

• The position of multiplication

• The type of function

• The domain of the function

• The value of the function