Graphing Sine with Period Change and Reflection

The video tutorial explains how to graph the function F(x) = -1/2 sin(x/2). It covers key concepts such as amplitude, period, and critical points. The tutorial demonstrates how to calculate these values and graph the function, including transformations like reflection over the x-axis. The process involves understanding the function's amplitude, determining the period, identifying critical points, and graphing one complete cycle. The video concludes with a demonstration of graphing two complete periods.

What is the amplitude of the function F of X equals -1/2 sine of X/2?

Evaluate responses using AI:

OFF

How do you determine the period of a function, and what is the period for F of X equals -1/2 sine of X/2?

Evaluate responses using AI:

OFF

Explain the significance of critical points in graphing the function F of X equals -1/2 sine of X/2.

Evaluate responses using AI:

OFF

How do you find the start and end of one period for the function F of X equals -1/2 sine of X/2?

Evaluate responses using AI:

OFF

Describe the process of graphing the function F of X equals -1/2 sine of X/2 step by step.

Evaluate responses using AI:

OFF

What is the effect of the negative sign in front of the sine function on its graph?

Evaluate responses using AI:

OFF

What transformations occur to the sine graph when graphing F of X equals -1/2 sine of X/2?

Evaluate responses using AI:

OFF