Tangent Graph Transformations and Properties

The video tutorial explains how to analyze and graph the tangent function, focusing on transformations such as stretching, compressing, phase shifts, and vertical shifts. It covers the basic tangent graph, including key values and vertical asymptotes, and progresses to a more challenging example involving period calculation and graph reflection. The tutorial concludes with tips on graphing complex tangent functions by adjusting the origin and using reference points.

What does the 'a' value do in the tangent graph formula?

• Shifts the graph left or right

• Stretches or compresses the graph

• Changes the period of the graph

• Reflects the graph over the x-axis

What is the effect of the 'b' value on the tangent graph?

• It shifts the graph up or down

• It changes the period of the graph

• It reflects the graph over the y-axis

• It stretches the graph vertically

How does the 'h' value affect the tangent graph?

• It shifts the graph left or right

• It stretches the graph vertically

• It changes the period of the graph

• It shifts the graph up or down

What is the effect of a positive 'k' value on the tangent graph?

• Shifts the graph down

• Reflects the graph over the y-axis

• Shifts the graph up

• Stretches the graph horizontally

What happens to the tangent graph when 'h' is negative?

• The graph shifts to the right

• The graph shifts to the left

• The graph shifts down

• The graph shifts up

What is the effect of a positive 'h' value on the tangent graph?

• Shifts the graph up

• Shifts the graph down

• Shifts the graph to the right

• Shifts the graph to the left

What is the effect of a negative 'k' value on the tangent graph?

• Reflects the graph over the y-axis

• Stretches the graph horizontally

• Shifts the graph down

• Shifts the graph up

How do you calculate the period of a tangent graph?

• Period = 1/B

• Period = B/π

• Period = π/B

• Period = 2π/B

What is the range of key values used for graphing tangent on the unit circle?

• From 0 to π

• From -π to π

• From -π/2 to π/2

• From -2π to 2π

What happens at -π/2 and π/2 on the tangent graph?

• The graph has a maximum point

• The graph crosses the x-axis

• The graph has a minimum point

• The graph is undefined