Read the Whole Wave

Part of the Graphs of Trig Functions section of Coddy's Trigonometry journey. Lesson 47 of 49.

A wave is drawn in the graph tile. Read its midline, amplitude, period and phase shift, and write its equation.

Challenge

Write the equation of the wave in the graph tile in the form $y = a\cdot \sin\left(b\left(x-h\right)\right)+k$ , with a and b positive, b outside the bracket, and h the first crossing going up at or right of 0. Press Check.

Try it yourself

Write the equation of the graph

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

1From Circle to Wave

Ride a Ferris Wheel Unrolling the Sine Graph The Sine Graph in Radians Circle to Wave Recap

4Period

Period: One Wave Long Stretching the Wave Period in Degrees b Is Not the Period Period Recap

7Reading a Graph

The Equation of a Wave Sine or Cosine?From Peaks to a Wave All Four at Once Reading Recap

10Final Challenges

A Wave From Its Facts A Hidden Shift A Flipped TangentRead the Whole WaveGiant Wheel: the Model Giant Wheel: the Height

2The Cosine Graph

The Cosine Graph Cosine Is a Shifted Sine Where Sine Meets Cosine Cosine Graph Recap

5Midline

The Midline From Highest and Lowest Reading the Midline Midline Recap

8The Tangent Graph

The Tangent Graph Asymptotes Stretching the Tangent Graphs of sec, csc and cot Tangent Recap

3Amplitude

Amplitude: How Tall Amplitude of a Cosine A Negative a Flips It Amplitude From a Graph Amplitude Recap

6Phase Shift

Phase Shift: Sliding Phase Shift in Degrees Factor Out b First Reading a Phase Shift Phase Shift Recap

9Modelling with Waves

A Ferris Wheel Model Daylight Over a Year Tides Using a Model A Spring's Bounce Modelling Recap