Understanding Transformations of Tangent Functions

The video tutorial explains how to describe and graph transformations of tangent functions, specifically focusing on Y = 4 tangent X. It covers the calculation of the period, which is pi divided by 4, and demonstrates how to use the basic tangent function to graph the transformed function. The tutorial guides viewers through plotting key points and vertical asymptotes, ultimately sketching the graph of Y = tangent 4X.

What is the main focus of the video tutorial?

• Understanding logarithmic functions

• Solving quadratic equations

• Transforming and graphing tangent and cotangent functions

• Graphing linear functions

How does the coefficient of x, often referred to as B, affect the tangent function?

• It shifts the graph vertically

• It affects the period

• It changes the amplitude

• It reflects the graph over the x-axis

What is the period of the function y = 4 tangent x?

• Pi

• 2Pi

• Pi/4

• Pi/2

Where are the vertical asymptotes located for the basic tangent function?

• -Pi and Pi

• -Pi/2 and Pi/2

• 0 and Pi

• -Pi/4 and Pi/4

What are the key values of the tangent function at 0, Pi/4, and -Pi/4 radians?

• 1, 0, -1

• 0, -1, 1

• 0, 1, -1

• -1, 0, 1

How is the interval divided when graphing y = tangent 4x?

• Into three equal parts

• Into five equal parts

• Into two equal parts

• Into four equal parts

What is the significance of the points at Pi/16 and -Pi/16 in the graph?

• They are the points of inflection

• They are the points where the function equals 1 and -1

• They are the points where the function equals zero

• They are the maximum and minimum points

What is the function value at the first quarter of the interval for y = tangent 4x?

• 2

• -1

• 0

• 1

What pattern does the transformed tangent function follow?

• Quadratic pattern

• Basic tangent function pattern

• Exponential pattern

• Linear pattern

What is the final step in graphing y = tangent 4x?

• Finding the x-intercepts

• Drawing the vertical asymptotes

• Connecting the points and approaching the asymptotes

• Calculating the slope