Graphing the Tangent Function with a Phase Shift and Reflection Over the X Axis

The video tutorial explains how to graph the function F(x) = -10x + π/2 by identifying key components and transformations. It covers the characteristics of the parent graph, including its period and asymptotes, and details the transformations such as period, phase shift, and vertical translation. The tutorial also demonstrates how to use the phase shift to recreate the graph and discusses the effect of reflection on the graph's orientation.

What is the period of the parent tangent graph?

• π/2

• 2π

• π

• 3π/2

How do you calculate the phase shift for the function F(x) = -tan(x) + π/2?

• Set the inside of the function to 1

• Set the inside of the function to -π

• Set the inside of the function to π

• Set the inside of the function to 0

What is the effect of a negative sign in front of the tangent function?

• It stretches the graph vertically

• It reflects the graph across the X-axis

• It shifts the graph up

• It shifts the graph down

Where does the phase shift move the starting point of the graph?

• To π/2

• To 0

• To -π/2

• To π

What is the X scale for the transformed tangent graph?

• π

• π/2

• π/4

• 2π