Question

below is the graph of a trigonometric function. it intersects its midline at \\(\left(\frac{3}{5}\pi, 4.2\
ight)\\), and it has a minimum point at \\(\left(-\frac{2}{5}\pi, -4.4\
ight)\\).

what is the amplitude of the function?

Explanation:

Identify the midline value

Using the Trigonometric Midline knowledge point

$$ y = 4.2 $$

Identify the minimum value

Using the Amplitude and Minimum knowledge point

$$ y_{\min} = -4.4 $$

Calculate the amplitude

Using the Amplitude and Minimum knowledge point

$$ A = 4.2 - (-4.4) = 8.6 $$

Answer:

\(8.6\)