Subjects algebra

Amplitude Explanation

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1. Let's start by understanding the general form of a sinusoidal function: $$y = a \sin(bx + c) + d$$ or $$y = a \cos(bx + c) + d$$. 2. In this formula, the amplitude is the absolute value of $a$, which determines the height of the wave from the center line to its peak. 3. The value $c$ represents a phase shift, which moves the graph left or right but does not affect the amplitude. 4. The maximum value of the function is given by $$d + |a|$$ and the minimum value is $$d - |a|$$. 5. So if the amplitude is 3, it means $|a| = 3$, not $c$. 6. To find the max and min, you need to know $d$ (the vertical shift). For example, if $d=0$, max is 3 and min is -3. 7. If you provide the full function, I can help calculate the exact max and min values.