Question

score: 5/6 answered: 5/6 question 3 for $y = 8 \sin 7x$, its amplitude is \boxed{} its period is \boxed{} check answer

Explanation:

Step1: Recall Amplitude Formula

For a sine function \( y = A\sin(Bx) \), the amplitude is \( |A| \). Here, \( A = 8 \), so amplitude is \( |8| = 8 \).

Step2: Recall Period Formula

The period of \( y = A\sin(Bx) \) is \( \frac{2\pi}{|B|} \). Here, \( B = 7 \), so period is \( \frac{2\pi}{7} \).

Answer:

Amplitude: \( 8 \), Period: \( \frac{2\pi}{7} \)