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This investigation will allow you to experiment with different values of $c$ in the equation $y = \sin⁡ x + c$ to see what effect it has on the graph of $y = \sin⁡ x$ .

In this investigation, there are two sections for you to explore:

When you've completed both sections, you'll be given a short summary of the role of $c$ in $y = \sin⁡ x + c$ in the transformation of $y = \sin⁡ x$. The investigation will conclude with a short matching exercise.

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Equation

Amplitude

Period (°)

Domain

Range

\(x\)-int

\(y\)-int

Min. value

Max. value

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Value of $c$

Transformation of $y = \sin ⁡x$

Does not change

Changes

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Match the graph with it's equation:

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