Understanding Sine Function Graphs

The video tutorial explains how to plot points on the graph of the function y = 2sin(1/4x) - 1, focusing on maxima, minima, and midline intersections. It uses a unit circle to visualize when the sine function reaches specific values and solves for x to find these points. The tutorial also demonstrates how to graph these points and verify their accuracy using a tool.

What is the function given in the video for plotting points?

• y = 2sin(1/4x) - 1

• y = 2cos(1/4x) - 1

• y = 2sin(x) - 1

• y = sin(1/4x) + 1

When does the sine function reach its maximum value?

• When sine of 1/4x is 0

• When sine of 1/4x is -1

• When sine of 1/4x is 1

• When sine of 1/4x is 2

What is the minimum value that the sine function can take?

• -1

• 2

• 0

• 1

At what value of x does the function intersect the midline?

• x = 4π

• x = 0

• x = 2π

• x = -2π

What is the y-value when the function intersects the midline?

• y = 0

• y = -1

• y = 1

• y = 2

What is the significance of the unit circle in this context?

• It helps visualize the cosine function.

• It helps visualize the sine function.

• It helps visualize the secant function.

• It helps visualize the tangent function.

What is the x-value for the maximum point on the graph?

• x = 0

• x = -2π

• x = 2π

• x = 4π

What is the y-value at the maximum point of the function?

• y = 0

• y = 1

• y = 2

• y = -1

What is the x-value for the minimum point on the graph?

• x = 4π

• x = -2π

• x = 2π

• x = 0

What is the y-value at the minimum point of the function?

• y = 0

• y = -1

• y = -2

• y = -3