Graphing the Tangent Function with a Reflection and Change in Period

The video tutorial explains how to graph the function Y = -3 tan(πX). It covers finding the period, calculating the X scale, and identifying critical points and vertical asymptotes. The tutorial also discusses the effect of multiplying by -3, which compresses and reflects the graph. The final graph is sketched with an emphasis on understanding the cyclical nature of tangent graphs.

What is the period of the tangent function when the coefficient of X is π?

• 1/2

• 1

• π

• 2π

How is the X scale determined for the tangent graph?

• By subtracting π from the period

• By adding π to the period

• By dividing the period by 2

• By multiplying the period by 2

What are the start and end points of the initial period of the tangent graph?

• -π/2 and π/2

• 0 and π

• -1 and 1

• -π and π

What happens to the tangent graph when it is multiplied by a negative constant?

• It shifts upwards

• It reflects over the Y-axis

• It becomes wider

• It reflects over the X-axis

How does multiplying the tangent function by a constant greater than 1 affect the graph?

• It shifts the graph to the left

• It shifts the graph to the right

• It compresses the graph horizontally

• It stretches the graph vertically