Question

graph the following function over a two - period interval. give the period and the amplitude. y = - 5sin 2x what is the period of the function y = - 5sin 2x? π (simplify your answer. type an exact answer, using π as needed. use integers or fractions for any numbers in the what is the amplitude of the function y = - 5sin 2x? (type an integer or a simplified fraction.)

Explanation:

Step1: Recall period formula

For $y = A\sin(Bx)$, period $T=\frac{2\pi}{|B|}$. Here $B = 2$, so $T=\frac{2\pi}{2}=\pi$.

Step2: Recall amplitude formula

For $y = A\sin(Bx)$, amplitude is $|A|$. Here $A=- 5$, so amplitude is $| - 5|=5$.

Answer:

Period: $\pi$
Amplitude: $5$