I have two points. (-1,-5) is one of the minimum points and (3.5,-4) is one of the maximum points. I'm not sure if this is a sin or a cosine function. Please write the equation to this problem.
.I literally just watched a video on how to do this, this is a learning process for me too
I am assuming that you learned the trig vocabulary for this as you asking these problems
Lets first do a cosine graph cuz its easier
This is the base equation for a cosine graph:
So first find the amplitude, which is the height of the waves of the graph. (using y-values)
Now we have the "A" value
Ok now we have to find the period
We first find the positive difference of the x values to find the horizontal distance.
Then we double what we got
Then we solve for the b-value
Now we have
Now we have to find the phase shift (h-value)
Since it has shifted -1, ( coordinate (-1, -5) tells us that. )
We now have:
Now we have to find the vertical shift (c-value)
Formula for that is
So the equation of the sinusoidal graph is
This is the cosine graph.
This is the video I learned from, if you want to find the sine graph, follow the steps in the video.
I was on Khan Academy. I typed in the answer, and it turns out that y=0.5cos((2π/9)x−(7π/9))−4.5 is the answer.