Answer:
The period is of [tex]\pi[/tex] units
Step-by-step explanation:
Function sine:
A function sine has the following format:
[tex]y = A\sin{Bx + C}[/tex]
It's period is given by:
[tex]P = \frac{2\pi}{|B|}[/tex]
In this question, we are given the following function:
[tex]y = 4\sin{-2x+7}-1[/tex]
This means that [tex]B = -2[/tex], so [tex]|B| = 2[/tex], and the period is:
[tex]P = \frac{2\pi}{|B|} = \frac{2\pi}{2} = \pi[/tex]
The period is of [tex]\pi[/tex] units
