What is the amplitude of y=2cos(7x+5)+1 ? units

Identify Amplitude Standard Form: Identify the standard form of a trigonometric function to find the amplitude. The standard form for a cosine function is y=Acos(Bx+C)+D, where A is the amplitude. Compare Given Function: Compare the given function y=2cos(7x+5)+1 with the standard form. Here, A=2, which means the amplitude of the function is 2. Verify Amplitude Calculation: Ensure there is no mathematical error in identifying the amplitude from the given function. The amplitude is correctly identified as the coefficient of the cosine function, which is 2.

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Grade 8

Solve multi-step equations with fractional coefficients

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Q. What is the amplitude of

y=2 \cos (7 x+5)+1

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units

Identify Amplitude Standard Form: Identify the standard form of a trigonometric function to find the amplitude. The standard form for a cosine function is $y=A\cos(Bx+C)+D$ , where $A$ is the amplitude.
Compare Given Function: Compare the given function $y=2\cos(7x+5)+1$ with the standard form. Here, $A=2$ , which means the amplitude of the function is $2$ .
Verify Amplitude Calculation: Ensure there is no mathematical error in identifying the amplitude from the given function. The amplitude is correctly identified as the coefficient of the cosine function, which is $2$ .