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 .

b.-4 units

all you   do is count how many times you move

∠cbe and ∠deb are same-side interior angles.

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