Question

What is the equation of the graph below?

Answer 1

Answer:

y = csc(x - 3/4$\pi$)

Step-by-step explanation:

I forgot how to answer questions like these. I went ahead and tried re-learning this to answer this.

So, the first step is to recognize that this graph can only be the reciprocal function of sin or cosine. I will think of sine.

y = sin(x)

Look at where the x-coordinate of the sin is. (-3/4PI). This is going to be the c value. { y = asin(x-c) }

y = sin(x - 3/4$\pi$)

Now, what is the a value? or amplitude? Well, it's just 1.. and the simplest explanation is just to look at my picture.

Now, if we were to graph this, we would end up with the correct x and y values, but the shape is wrong, and the easiest way to fix this is to just take the recpriocal of the sine function.

y = csc(x - 3/4$\pi$)

Thank you for this question, I re-learned something I forgot back in pre-calc haha.