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Julli [10]
2 years ago
7

The graph of a sinusoidal function intersects its midline at (0,−3)and then has a maximum point at (2,-1.5). Write the formula o

f the function, where x is entered in radians. f(x)= Please answer fast
Mathematics
1 answer:
amm18122 years ago
7 0

The <em>sinusoidal</em> function that represents the graph is equal to y = 1.5 · cos (2π · t/8) - 3.

<h3>How to derive a sinusoidal function </h3>

In this question we must derive a <em>sinusoidal</em> function based on two given points. <em>Sinusoidal</em> functions are <em>periodic</em> functions that uses <em>trigonometric</em> functions and have the following form:

y = A · cos (2π · x/T) + B      (1)

Where:

  • A - Amplitude
  • T - Period
  • B - Vertical midpoint

The <em>horizontal</em> distance between the midline and the <em>maximum</em> point is equal to a quarter of the period. Hence,

T = 4 · (2 - 0)

T = 8

The <em>vertical</em> midpoint and amplitude of the <em>sinusoidal</em> function are now calculated:

Vertical midpoint

B = - 3

Amplitude

A = - 1.5 - (- 3)

A = 1.5

Then, the <em>sinusoidal</em> function that represents the graph is equal to y = 1.5 · cos (2π · t/8) - 3.

To learn more on sinusoidal functions: brainly.com/question/12060967

#SPJ1

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