From Highest and Lowest

Part of the Graphs of Trig Functions section of Coddy's Trigonometry journey. Lesson 22 of 51.

A buoy rides waves between 1 m and 7 m above the sea floor. The midline sits halfway, and the amplitude is half the gap:

k = (7 + 1)/2 = 4

a = (7 - 1)/2 = 3

$A wave between 1 and 7 around the midline y = 4$

If the wave is on its midline at 0° and rising, it is y = 3sin(x) + 4: the sine starts on its midline going up.

Challenge

A sine wave crosses its midline going up at x = 0°. Its highest value is 5 and its lowest is −1. Draw it. Press Check.

Test yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

Test yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Graphs of Trig Functions

2The Cosine Graph

5Midline

8The Tangent Graph

3Amplitude

6Phase Shift

9Modelling with Waves