IDNLearn.com provides a comprehensive solution for all your question and answer needs. Get step-by-step guidance for all your technical questions from our knowledgeable community members.
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]
We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Thank you for choosing IDNLearn.com. We’re here to provide reliable answers, so please visit us again for more solutions.