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?
(simplify your answer. type an exact answer, using π as needed. use integers or fractions for any numbers in the expression.)

Explanation:

Step1: Recall sine - function period formula

For the function $y = A\sin(Bx + C)+D$, the period $T$ is given by $T=\frac{2\pi}{|B|}$.

Step2: Identify the value of B

In the function $y=- 5\sin(2x)$, $B = 2$.

Step3: Calculate the period

Substitute $B = 2$ into the period formula: $T=\frac{2\pi}{|2|}=\pi$.

Answer:

$\pi$