Question

Match the function with the graph. a = Sinx-3 c. y = cos(x-3) b. y = sin x + 3 d. Y = COS X + 3

Answer 1

From the graph it is clear that this is a sine function, and not a cosine function. Sine at x = 0 is also 0, but cosine is 1.

So, options can be either a or b

But we also see that the sine is translated upwards. Note that when the sine sould be 0, the function takes value 3. This means that you have to add 3 to each 'y' valude of the function.

Therefore, the answer is b. y = sin(x) + 3