z11.4 Lesson on Sinusoidal Equation Making

Making Sinusoidal Equations from Graphs

By Blake Jensen

Labeling

Label the following with what a, b, c, and d are.

Drag labels to their correct position on the image

amplitude

period

phase shift

midline shift

Multiple Choice

What is the amplitude in the following?

y = -5sin(3x - 8) + 11

• 5

• -5

• 8

• -8

Math Response

Find the period of the following equation

y = 2cos(4x) - 7

Type answer here

Correct Answer: \frac{\pi}{2}

Deg^°

Rad

Period can be tricky

1) Identify if it's sine or cosine.

2) Identify the "a" value by finding the first amplitude

3) Find the "b" value by finding a full wavelength

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Making an equation

Multiple Choice

What is the following?

• sin

• cos

• tan

Open Ended

Explain how you know if this is sin or cos.

Hotspot

Click on the start and end point of the wave starting from the origin.

Math Response

If the period is $$\frac{3\pi}{2}$$ what is the b value?

Put your answer in fraction form

Type answer here

Correct Answer: \frac{4}{3}

Deg^°

Rad

Math Response

Make an equation for the above graph

Type answer here

Correct Answer: y=3\cos\left(\frac{3}{2}x\right)

Deg^°

Rad