What is the amplitude of y=-4cos(5x-9)-7 ? units

Amplitude of Trigonometric Function: The amplitude of a trigonometric function like y = A*cos(Bx - C) + D is the absolute value of the coefficient A. In this case, the function is y = -4*cos(5x - 9) - 7, so the coefficient A is -4.Finding the Amplitude: To find the amplitude, we take the absolute value of -4, which is 4.Factors Affecting Amplitude: The amplitude does not depend on the horizontal shift (the -9 in this case), the frequency (the 5 in this case), or the vertical shift (-7 in this case). It only depends on the absolute value of the coefficient of the cosine function.

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Grade 8

Solve equations with variables on both sides

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Q. What is the amplitude of

y=-4 \cos (5 x-9)-7

\newline

units

Amplitude of Trigonometric Function: The amplitude of a trigonometric function like $y = A\cos(Bx - C) + D$ is the absolute value of the coefficient $A$ . $\newline$ In this case, the function is $y = -4\cos(5x - 9) - 7$ , so the coefficient $A$ is $-4$ .
Finding the Amplitude: To find the amplitude, we take the absolute value of $-4$ , which is $4$ .
Factors Affecting Amplitude: The amplitude does not depend on the horizontal shift (the $-9$ in this case), the frequency (the $5$ in this case), or the vertical shift ( $-7$ in this case). It only depends on the absolute value of the coefficient of the cosine function.