Write a function with no horizontal shift for the sinusoid shown.

We have been given graph of a sinusoidal function. We are asked to write function formula for our given graph.

We know that and . We can see that our given function is starting at origin, so our graph is sine function.

We know that general form of sine is , where,

A = Amplitude,

Period:

C = Horizontal shift,

D = Vertical shift.

We have been given that function has no horizontal shift, so the value of C is 0.

We can also see that midline of our function is x-axis, so there is no vertical shift as well that is .

We can see that function goes up to 1 from midline and goes down to from midline, so amplitude of function is 1 that is .

We can see that period of our given function is because it completes one cycle from to

We can see that our function is reflected about x-axis, so our function will be .

Therefore, our required function is .

i would say the third one.

step-by-step explanation: liner would mean in a line and the only one that doesn't look like it's even thinking about forming a line would be the third one

go and ask your mom to you