below is the graph of a trigonometric function. it intersects its mid - line at $left(-\frac{1}{2}pi,3.3\righ…
below is the graph of a trigonometric function. it intersects its mid - line at $left(-\frac{1}{2}pi,3.3\right)$, and it has a maximum point at $(-2pi,9.8)$. what is the amplitude of the function? units show calculator
Answer
Explanation:
Step1: Recall amplitude formula
Amplitude is the distance from the mid - line to the maximum (or minimum) value of a periodic function. It is calculated as $A=\vert y_{max}-y_{midline}\vert$.
Step2: Identify values
The $y$ - coordinate of the maximum point is $y_{max}=9.8$ and the $y$ - coordinate of the mid - line point is $y_{midline}=3.3$.
Step3: Calculate amplitude
$A=\vert9.8 - 3.3\vert=6.5$
Answer:
$6.5$