Easiest Method for Graphing Sine with a Reflection and Change in Period

The video tutorial explains how to graph the function F(x) = -sin(x/2) by identifying and applying transformations. It covers the concepts of amplitude, period, phase shift, and vertical transformations. The tutorial demonstrates how to calculate these transformations and apply them to graph the sine function, including handling reflections over the X-axis. The process is broken down into steps, ensuring a clear understanding of each transformation's impact on the graph.

What is the transformation form used to identify transformations in the function F(x) = -sin(x/2)?

• F(x) = a*sin(Bx - C) + D

• F(x) = a*cos(Bx - C) + D

• F(x) = a*sec(Bx - C) + D

• F(x) = a*tan(Bx - C) + D

How is the amplitude of a sine function determined?

• By taking the absolute value of B

• By taking the absolute value of A

• By dividing the period by 4

• By setting the function equal to zero

What is the formula to calculate the period of a sine function?

• 2π / C

• 2π / D

• 2π / A

• 2π / B

For the function F(x) = -sin(x/2), what is the calculated period?

• π/2

• 4π

• π

• 2π

What is the X scale for the function F(x) = -sin(x/2)?

• 2π

• π

• π/2

• 4π

How does a reflection over the X-axis affect the graph of a sine function?

• It shifts the graph up

• It stretches the graph horizontally

• It shifts the graph down

• It inverts the graph vertically

In the graph of F(x) = -sin(x/2), what is the effect of the negative sign in front of the sine function?

• It causes a horizontal shift

• It causes a vertical stretch

• It causes a reflection over the X-axis

• It causes a phase shift