What is the reflection of a trigonometric cosine graph

The video tutorial covers reflections of trigonometric functions, focusing on how multiplying a function by a negative number affects its graph. It explains reflections over the X and Y axes using examples like the square root and cosine functions. The tutorial also discusses the properties of even and odd functions, particularly the cosine function, and how these properties influence graph symmetry.

What happens to a function when it is multiplied by a negative number outside the function?

• It shifts to the right.

• It reflects over the X axis.

• It shifts to the left.

• It reflects over the Y axis.

How does multiplying the cosine function by -1 affect its graph?

• It shifts the graph downwards.

• It reflects the graph over the Y axis.

• It reflects the graph over the X axis.

• It shifts the graph upwards.

What is the value of cosine at π?

• -1

• 2

• 0

• 1

Why does the cosine of negative X equal the cosine of X?

• Because cosine is an odd function.

• Because cosine is an even function.

• Because cosine is a periodic function.

• Because cosine is a linear function.

What is the effect of a negative amplitude on a function's graph?

• It shifts the graph to the right.

• It reflects the graph over the X axis.

• It shifts the graph to the left.

• It reflects the graph over the Y axis.

What is the significance of amplitude in trigonometric functions?

• It affects the reflection over the X axis.

• It determines the horizontal shift of the function.

• It affects the vertical stretch of the function.

• It determines the period of the function.

How does the symmetry of the cosine function affect its graph?

• It causes the graph to be symmetrical over the Y axis.

• It causes the graph to be asymmetrical.

• It causes the graph to be periodic.

• It causes the graph to be symmetrical over the X axis.