y=7\sin\left(\dfrac{3\pi}{4} x-\dfrac{\pi}{4}\right)+6y=7sin(43πx−4π)+6
+118654 y=7\sin\left(\dfrac{3\pi}{4} x-\dfrac{\pi}{4}\right)+6y=7sin(43πx−4π)+6
What do you want me to do with this? Do you want to grapoh it?
\( y=7\sin\left(\dfrac{3\pi}{4} x-\dfrac{\pi}{4}\right)+6\)
\( y=7\sin\left(\dfrac{3\pi}{4} x-\dfrac{\pi}{4}\right)+6\\ y=7\sin\left(\dfrac{3\pi}{4}\left[ x-\dfrac{1}{3}\right]\right)+6\\ \text{This is a Sine curve}\\ \text{the period is }2\pi \div \frac{3\pi}{4}=2\pi \times \frac{4}{3\pi}=\frac{8}{3}\\ \text{The phase shift is }\frac{1}{3} \text{ units to the right}\\ \text{The centre of the wave is y=6}\\ \text{And the amplitude is 7}\)
Here I have built the graph - bit by bit as described above :)
https://www.desmos.com/calculator/ieddupvhvz
Click on each of the circle to the left of the graph ,one at a time, and watch the graph develop.
The black graph is the final one and the green line shows on period :)
Here is a picture but you should go into the Desmos and look at the grah properly.
