below is the graph of a trigonometric function. it has a minimum point at (1, 1.5) and an amplitude of 1.5…

Explanation:

Step1: Recall mid - line formula

The mid - line of a trigonometric function is given by $y = \text{average of maximum and minimum values}$.

Step2: Find the maximum value

The amplitude $A = 1.5$ and the minimum value $y_{\min}=1.5$. The maximum value $y_{\max}=y_{\min}+2A$. So $y_{\max}=1.5 + 2\times1.5=1.5 + 3=4.5$.

Step3: Calculate the mid - line

The mid - line $y=\frac{y_{\max}+y_{\min}}{2}=\frac{4.5 + 1.5}{2}=\frac{6}{2}=3$.

Answer:

$y = 3$