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# help!

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1. The functionf(x) is multiplied by a factor of 2 and then 3 is added to the function.

f(x)=sin(x)

What effect does this have on the graph of the function?

• The graph is vertically compressed by a factor of 2 and shifted up 3 units.
• The graph is vertically stretched by a factor of 2 and shifted up 3 units.
• The graph is vertically compressed by a factor of 3 and shifted up 2 units.
• The graph is vertically stretched by a factor of 3 and shifted up 2 units.

2. Over a 24-hour period, the temperature in a town can be modeled by one period of a sinusoidal function. The temperature measures 70°F in the morning, rises to a high of 80°F, falls to a low of 60°F, and then rises to 70°F by the next morning.

What is the equation for the sine function f(x), where x represents time in hours since the beginning of the 24-hour period, that models the situation?

Mar 6, 2018

### 1+0 Answers

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1.  The graph is vertically stretched by a factor of 2 and shifted up 3 units.

2.   y  =  10sin ( pi * x / 12)  + 70    where  x  =  0   =  6AM

Here's the graph  :   https://www.desmos.com/calculator/7czvz6iknl   Mar 6, 2018