Answer:
The function [tex]y = 3\sin (x + 3) - 2[/tex] is the correct option here.
Step-by-step explanation:
See the graph attached.
We have to choose the function from the options which shows the graph given.
The maximum value of the graphed function is 1 and the minimum value is - 5.
Now, the function [tex]y = 3\sin (x + 3) - 2[/tex] is the correct option here.
We know that for any value of [tex]\theta[/tex], [tex]\sin \theta[/tex] has maximum value of 1 and minimum value is - 1.
Therefore, [tex]y_{max} = 3(1) - 2 = 1[/tex]
and [tex]y_{min} = 3(- 1) - 2 = - 5[/tex]
No other options have the minimum value of - 5 and maximum value of 1.
