Answer the following questions using what youve learned from

Answer the following questions using what you\'ve learned from this unit. Write your responses in the space provided. learmed from tlil unit esn the 1. Graphs of two trigonometric functions are shown below. Part I: What is the period of the solid graph? (2 points) Part lI: What is the period of the dotted graph? (2 points) Part IlI: The solid graph is the graph of one of the six main trigonometric functions. Which of the six is it? How do you know this? (4 points) Part IV: The dotted graph is a transformation of the solid graph. It shows a vertical stretch and a horizontal stretch. What is the vertical stretch factor of the dotted graph? (2 points) Part V: Take your answers to Part II and Part III and apply the transformation from Part IV to generate

Solution

1) Solid graph period : pi - (-pi) = 2pi

Dotted graph , period : pi/2 -(-pi/2) = pi

Solid graph : y = cscx

Dotted graph: Vertical stretch is 3 and horizontal stretech is 1/2

Function of dotted graph : y = 3csc(2x)

2) Graph of y= sinx is correctly plotted

y= 1.5sin4x

Parent graph of y= sinx is vertically streteched by 1.5 units and horizontally stretched by 1/4

Amplitude = 1.5

Period = 2pi/4 = pi/2