7.t.27 write eq for a sinusiol graph

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In summary, the equation for a sinusiol graph with an amplitude of -3, a period of 2π/3, and a phase shift of -π/4 is y=-3sin(ωx - φ), where ω is the frequency and φ is the phase shift. To find the values of ω and φ, solve for T=2π/3 and then substitute the values into the equation.
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karush
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Write an equation for a sinusiol graph with the following
\quad $A=-3$ \quad period $=\dfrac{2\pi}{3}$ phase shift $=-\dfrac{\pi}{4}$
For the graphs of $y=A\sin(\omega x - \phi)$ or $y=A\cos(\omega x - \phi),\omega>0$
Amplitude $=|A|$ \quad Period $=T=\dfrac{2\pi}{\omega}$ \quad Phase shift $=\dfrac{\phi}{\omega}$
$y=-3\sin(\omega x - \phi)$

ok, I still get ? with these sinusol graphs
 
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You have the equations! Solve for \(\displaystyle T = 2 \pi / 3\) so solve for \(\displaystyle \omega\). Then find \(\displaystyle \phi\).

-Dan
 
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topsquark said:
You have the equations! Solve for \(\displaystyle T = 2 \pi / 3\) so solve for \(\displaystyle \omega\). Then find \(\displaystyle \phi\).

-Dan

ok I think this is it ... typos maybe
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Screenshot 2022-02-09 11.22.48 AM.png
 
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FAQ: 7.t.27 write eq for a sinusiol graph

1. What is a sinusoidal graph?

A sinusoidal graph is a type of graph that represents a periodic function, such as a sine or cosine wave. It is characterized by a repeating pattern of peaks and valleys.

2. How do you write an equation for a sinusoidal graph?

The general equation for a sinusoidal graph is y = A*sin(Bx + C) + D, where A is the amplitude, B is the frequency, C is the phase shift, and D is the vertical shift.

3. What is the difference between a sine and cosine graph?

A sine graph has an initial peak at (0,0) and then continues in an upward direction, while a cosine graph has an initial peak at (0,1) and then continues in a downward direction. They have the same shape and period, but differ in their starting points.

4. How do you determine the amplitude of a sinusoidal graph?

The amplitude of a sinusoidal graph is the distance from the center line to the peak or valley. It can be calculated by taking half the difference between the maximum and minimum values of the function.

5. What is the period of a sinusoidal graph?

The period of a sinusoidal graph is the length of one complete cycle, or the distance between two consecutive peaks or valleys. It can be calculated by dividing 2π by the frequency (B) in the general equation.

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