Question
What is the amplitude of LaTeX: y = -3\sin\left(\pi{x}+2\right)-9?
Answers
GPT-4o mini
The amplitude of a sinusoidal function in the form \( y = a \sin(bx + c) + d \) is given by the absolute value of the coefficient \( a \).
In the given function:
\[
y = -3 \sin(\pi x + 2) - 9
\]
the coefficient \( a \) is \(-3\).
To find the amplitude, we take the absolute value of \( -3 \):
\[
\text{Amplitude} = |-3| = 3
\]
Therefore, the amplitude of the function is \( 3 \).
In the given function:
\[
y = -3 \sin(\pi x + 2) - 9
\]
the coefficient \( a \) is \(-3\).
To find the amplitude, we take the absolute value of \( -3 \):
\[
\text{Amplitude} = |-3| = 3
\]
Therefore, the amplitude of the function is \( 3 \).