Question

Find the amplitude and period of the graph y=4 sin πθ

Answer 1

Answer:

The amplitude is 4 and the period is 2

Step-by-step explanation:

In the equation y = A sin (B x)  

• A is the amplitude, where the amplitude is the height from highest to lowest points and  divide the answer by 2
• The period is $\frac{2\pi }{B}$ , where the period is the distance from one peak to the next peak

∵ The equation is y = 4 sin(πФ)

- Compare it with form above

∴ A = 4 and B = π

∵ A is the amplitude

∴ The amplitude is 4

∵ Period = $\frac{2\pi }{B}$

∴ Period = $\frac{2\pi }{\pi }$

∴ Period = 2

∴ The period is 2