Trigonometric Graph Analysis and Key Points

The video tutorial covers graphing trigonometric equations, focusing on sine and cosine. It explains how to modify graphs using parameters A, B, C, and D, affecting amplitude, period, and shifts. The tutorial provides examples of graphing y = 4 * sin x + 3 and a sine graph with B and C modifications, emphasizing key points and the unit circle.

Which trigonometric functions are primarily focused on in the tutorial?

• Tangent and Cotangent

• Sine and Cosine

• All six trigonometric functions

• Secant and Cosecant

What does the variable 'A' modify in a trigonometric graph?

• Period

• Amplitude

• Vertical shift

• Horizontal shift

How does the variable 'D' affect the graph?

• Moves the graph up or down

• Moves the graph left or right

• Changes the period

• Changes the amplitude

What is the formula for the period of a trigonometric graph?

• 2π/|B|

• 2π|B|

• π/|B|

• π|B|

What are the key points in a sine graph derived from?

• The y-axis

• The origin

• The x-axis

• The unit circle

In the example y = 4 * sin(x) + 3, what is the new center line of the graph?

• 3

• 7

• 0

• 4

What is the high point of the graph y = 4 * sin(x) + 3?

• 1

• 3

• 4

• 7

In the example with B and C, what remains unchanged in the graph?

• X-coordinates

• Y-coordinates

• Amplitude

• Period

What is the pattern observed in the new x-coordinates when B and C are used?

• Each decreases by 1/8

• Each decreases by 2/8

• Each increases by 2/8

• Each increases by 1/8

What is the first step in finding new key points when B and C are involved?

• Add π/4

• Subtract π/4

• Multiply by 2

• Divide by 2