Get the most out of your questions with the extensive resources available on IDNLearn.com. Ask anything and receive prompt, well-informed answers from our community of experienced experts.
Sagot :
To find the amplitude of the function [tex]\( f(x) = 8 \sin \left(6 x + \frac{\pi}{4} \right) - 3 \)[/tex], we need to consider the general form of a sinusoidal function, which is given by:
[tex]\[ f(x) = A \sin(Bx + C) + D \][/tex]
In this general form:
- [tex]\( A \)[/tex] is the amplitude
- [tex]\( B \)[/tex] affects the period
- [tex]\( C \)[/tex] is the phase shift
- [tex]\( D \)[/tex] is the vertical shift
For the function [tex]\( f(x) = 8 \sin \left( 6x + \frac{\pi}{4} \right) - 3 \)[/tex], we identify the amplitude [tex]\( A \)[/tex] as the coefficient of the sine function. The coefficient of [tex]\(\sin\)[/tex] here is 8.
Thus, the amplitude of the function [tex]\( f(x) = 8 \sin \left(6 x + \frac{\pi}{4} \right) - 3 \)[/tex] is:
[tex]\[ \boxed{8} \][/tex]
[tex]\[ f(x) = A \sin(Bx + C) + D \][/tex]
In this general form:
- [tex]\( A \)[/tex] is the amplitude
- [tex]\( B \)[/tex] affects the period
- [tex]\( C \)[/tex] is the phase shift
- [tex]\( D \)[/tex] is the vertical shift
For the function [tex]\( f(x) = 8 \sin \left( 6x + \frac{\pi}{4} \right) - 3 \)[/tex], we identify the amplitude [tex]\( A \)[/tex] as the coefficient of the sine function. The coefficient of [tex]\(\sin\)[/tex] here is 8.
Thus, the amplitude of the function [tex]\( f(x) = 8 \sin \left(6 x + \frac{\pi}{4} \right) - 3 \)[/tex] is:
[tex]\[ \boxed{8} \][/tex]
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Find the answers you need at IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.