Question

Below is the graph of a trigonometric function. It intersects its midline at (5.2, 7), and it has a minimumpoint at (1.2, 1.2) what is the amplitude ?

Answer 1

The amplitude is the amount by which the graph function travels above and below its middle, that is,

then, we need to find the distance from the minimum point to the midline. From the given picture, we can see that,

the amplitude will be equal to the distance from póint (1,2,7) to (1.2,1.2),that is,

`\begin{gathered} \text{distance}=7-1.2 \\ \text{distance}=5.8 \end{gathered}`

Therefore, the amplitude is equal to 5.8 units