Answer the following questions using what you\'ve learned from this unit. Write

Question

Answer the following questions using what you've learned from this unit. Write your responses in the space provided 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 II: 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)

Explanation / Answer

1) Period of solid Graph = 2

2) Period of dotted Graph =

3) The solid graph is secant function => Graph is y = sec

we know this because the secant function has infinite discontinuities at = (+/-) (2n - 1)/2

4) Dotted graph is stretched by 3 units vertically and scaled by 2 units horizontally

==> y = 3 sec (2)

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