Lesson: Transformation of Periodic Functions

In this lesson, we will learn how to find the rule of a function whose graph is of a sine or cosine function that has been stretched in the x-direction or y-direction.

Sample Question Videos

  • 01:22
  • 01:03

Worksheet: Transformation of Periodic Functions • 8 Questions • 2 Videos

Q1:

Which function is represented on the graph?

Q2:

The figure shows the graph of 𝑓 ( 𝑥 ) . A transformation maps 𝑓 ( 𝑥 ) to 𝑓 ( 𝑥 ) − 3 . Determine the coordinates of 𝐴 following this transformation.

Q3:

The figure shows the graph of 𝑦 = 𝑥 s i n .

Which of the following is a graph of 𝑦 = 2 𝑥 s i n ?

Q4:

Write the equation of the trigonometric function seen in the given figure.

Q5:

Which function is represented on the graph?

Q6:

Which of the following is the graph of 𝑦 = 𝑥 c o s ?

Q7:

The figure shows the graph of a function. Which of the following equations represents the graph?

Q8:

The figure shows the graph of 𝑓 ( 𝑥 ) . A transformation maps 𝑓 ( 𝑥 ) to 𝑓 ( 2 𝑥 ) . Determine the coordinates of 𝐴 following this transformation.
Preview

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.