QuestionJuly 16, 2025

Find the period and amplitude of the function. y=-4sinpi x Give the exact values not decimal approximations. square Period: square square

Find the period and amplitude of the function. y=-4sinpi x Give the exact values not decimal approximations. square Period: square square
Find the period and amplitude of the function.
y=-4sinpi x
Give the exact values not decimal approximations.
square 
Period: square 
square

Solution
4.7(212 votes)

Answer

Amplitude: 4 ### Period: 2 Explanation 1. Identify the amplitude The amplitude of a sine function y = a \sin(bx) is given by the absolute value of a. Here, a = -4, so the amplitude is |a| = 4. 2. Calculate the period The period of a sine function y = a \sin(bx) is given by \frac{2\pi}{b}. Here, b = \pi, so the period is \frac{2\pi}{\pi} = 2.

Explanation

1. Identify the amplitude<br /> The amplitude of a sine function $y = a \sin(bx)$ is given by the absolute value of $a$. Here, $a = -4$, so the amplitude is $|a| = 4$.<br /><br />2. Calculate the period<br /> The period of a sine function $y = a \sin(bx)$ is given by $\frac{2\pi}{b}$. Here, $b = \pi$, so the period is $\frac{2\pi}{\pi} = 2$.
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