The function shown in the graph is vertically stretched by a factor of 2 to produce a new graph. which function represents the new graph?

Third option.

Step-by-step explanation:

We know that the sine function is:

Where "A" is the amplitude of the function( This is half the vertical distance between minimum value and maximum value of the function) and is the period.

Observe in the graph that the amplitude is:

And the period is 1, then "b" is:

Then the function shown in the graph is:

By definition in the transformation of the function:

When and then the function is stretched vertically by a factor of "k".

In this case we know that the function shown in the graph is vertically stretched by a factor of 2 to produce a new graph. Then:

Therefore,the function that represents the new graph is:

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step-by-step explanation: