Question

What is the equation of the following graph?

Answer 1

No multiple choice?

Answer 2

f(x) = sin(x - 45°)

f(x) = sin(x + 45°)

f(x) = sin x + 2

f(x) = 2sin x

Answer 3

it literally doesn't look like any of them to me

Answer 4

but my best guess is B

Answer 5

Alright, well two things we can start off knowing. The sine graph usually has a range of [-1,1]. The only time it does not have that range is if you have something liek 2sinx, -4sinx, etc. Of course looking at the graph, it still does go up and down between [-1,1], so we can immediately throw out the 2sin(x) choice.

When you have sin(x) + 2, this means the sin(x) graph has moved up 2. But clearly, since the graph is still in between -1 and 1 with its y-values, it definitely isnt the sin(x) + 2 option.

The final two choices are simply a matter of movement left or movement right. When you have sin(x-45), this means the graph has moved RIGHT 45 degrees. This also means that if you were to have sin(x+45), you would havemoved left 45 degrees. So let me draw a rough sketch of the normal sin graph and your sin graph:



So does it look liek our graph is moved left from normal or right from normal?