What is the amplitude of h(x)=-5cos(2pi x+5)-2? units

Identify standard form: Identify the standard form of a cosine function and the amplitude. The standard form of a cosine function is A*cos(Bx + C) + D, where A is the amplitude, B affects the period, C is the phase shift, and D is the vertical shift.Compare with given function: Compare the given function h(x)=-5cos(2pi x+5)-2 with the standard form. In the given function, A = -5, B = 2pi, C = 5, and D = -2. The amplitude is the absolute value of A.Calculate amplitude: Calculate the amplitude. The amplitude is |A|, which is |-5|. Therefore, the amplitude is 5.

Home

Math Problems

Grade 8

Solve equations with variables on both sides

Full solution

Q. What is the amplitude of

h(x)=-5 \cos (2 \pi x+5)-2 ?

\newline

units

Identify standard form: Identify the standard form of a cosine function and the amplitude. $\newline$ The standard form of a cosine function is $A\cos(Bx + C) + D$ , where $A$ is the amplitude, $B$ affects the period, $C$ is the phase shift, and $D$ is the vertical shift.
Compare with given function: Compare the given function $h(x)=-5\cos(2\pi x+5)-2$ with the standard form. $\newline$ In the given function, $A = -5$ , $B = 2\pi$ , $C = 5$ , and $D = -2$ . The amplitude is the absolute value of $A$ .
Calculate amplitude: Calculate the amplitude. $\newline$ The amplitude is $|A| ext{, which is }|-5|$ . Therefore, the amplitude is $5$ .