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Novosadov [1.4K]
2 years ago
7

Find the perimeter of the trapeziod.a) 34 inb) 36 inc) 38 ind) 40 in

Mathematics
1 answer:
Artyom0805 [142]2 years ago
5 0

Check the picture below.

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Write the equation of the trigonometric graph.
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Answer:

f(x)= \sin(6x)+3

Step-by-step explanation:

The parent function of this graph is:  y = sin(x)

The sine function is periodic, meaning it repeats forever.

Standard form of a sine function:

f(x) = \sf A \sin (B(x + C)) + D

  • A = amplitude (height from the mid-line to the peak)
  • 2π/B = period (horizontal distance between consecutive peaks)
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The parent function y = sin(x) has the following:

  • Amplitude (A) = 1
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From inspection of the given graph:

  • Amplitude (A) = 1
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  • Phase shift (C) = 0
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\sf If\:Period=\dfrac{\pi}{3} \implies \dfrac{2 \pi}{B}=\dfrac{\pi}{3}\implies B=6

Substituting the values into the standard form:

\implies f(x) =1 \sin (6(x + 0)) + 3

\implies f(x) = \sin (6x) + 3

Therefore, the equation of the given trigonometric graph is:

f(x)= \sin(6x)+3

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