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Chapter 14: Q44. (page 768)

Identify the equation of the graphed function.

Ay=12sin4胃By=2sin14胃Cy=14sin2胃Dy=4sin12胃

Short Answer

Expert verified

The equation of the graphed function isy=14sin2胃. So, option (C) is correct.

Step by step solution

01

Step 1. Write down the given information.

The given graphed function is shown below.

02

Step 2. Evaluating amplitude and period of the given function.

By drawing a horizontal parallel line on two crests, it can be interpreted that, the amplitude of the given graphed function is 0.25 which will be equivalent to 14 in fraction form. And, the graph repeats itself after an interval of 蟺. So, period of the graphed function is 蟺.

Now, from the given options (A), (B), (C) and (D), only option Cy=14sin2胃 has amplitude of 14 and period 2蟺2=蟺.

The equation of the graphed function is y=14sin2胃. So, option (C) is correct.

03

Step 3. Conclusion.

The equation of the graphed function is y=14sin2胃. So, option (C) is correct.

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