Comparing the graphs of $y = a s i n x$ and $y = s i n x$

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

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

$a > 1$

$a < -1$

$-1 < a < 1$

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

Equation

Amplitude

Period (°)

Domain

Range

$x$-int

$y$-int

Min. value

Max. value

Comparing the graphs of $y = a s i n x$ and $y = s i n x$

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Comparing the graphs of y=asinx and y=sinx

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Comparing the graphs of $y = a s i n x$ and $y = s i n x$