What is the period of y=4sin(-2x+7)-1" ? " Give an exact value. units

Identify Sine Function Form: Identify the general form of a sine function and its period. The general form of a sine function is y = A sin(Bx + C) + D, where the period is given by 2π/|B|.Substitute Given Values: Substitute the given values into the formula to find the period. Given y = 4sin(-2x + 7) - 1, we identify B = -2. The period is then calculated as 2π/|-2| = 2π/2.Simplify Expression: Simplify the expression to find the exact value of the period. 2π/2 simplifies to π. Therefore, the period of the function y = 4sin(-2x + 7) - 1 is π units.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is the period of

y=4sin(-2x+7)-1" ? "
Give an exact value.
units

What is the period of $\newline$ $y=4 \sin (-2 x+7)-1 \text { ? }$ $\newline$ Give an exact value. $\newline$ units

View step-by-step help

Full solution

Q. What is the period of

\newline

y=4 \sin (-2 x+7)-1 \text { ? }

\newline

Give an exact value.

\newline

units

Identify Sine Function Form: Identify the general form of a sine function and its period. $\newline$ The general form of a sine function is $y = A \sin(Bx + C) + D$ , where the period is given by $\frac{2\pi}{|B|}$ .
Substitute Given Values: Substitute the given values into the formula to find the period. $\newline$ Given $y = 4\sin(-2x + 7) - 1$ , we identify $B = -2$ . The period is then calculated as $\frac{2\pi}{|{-2}|} = \frac{2\pi}{2}$ .
Simplify Expression: Simplify the expression to find the exact value of the period. $\newline$ $\frac{2\pi}{2}$ simplifies to $\pi$ . Therefore, the period of the function $y = 4\sin(-2x + 7) - 1$ is $\pi$ units.