How can I know how many degrees a graph has shifted?

Question

anonymous · Answer

attachment

solomonzelman · Answer

from the equation.

solomonzelman · Answer

Lets take $$\color{blue} {f(x)=2x}$$$$\color{blue} {f(x)=2\color{red} {(}x\color{red} {-a)}}$$a units right.$$\color{blue} {f(x)=2\color{red} {(}x\color{red} {+a)}}$$a units left.$$\color{blue} {f(x)=2x\color{red} {-a}}$$a units down.$$\color{blue} {f(x)=2x\color{red} {+a}}$$a units up.

anonymous · Answer

Well, the picture above was the answer to the problem. In the original problem, I am given no equations.

solomonzelman · Answer

Oh, I see, because I was confused what the question was looking at the first pic.

anonymous · Answer

Yeah, so I'm struggling with finding the original equation, well, for sine & cosine it's easier, since the origin for sine is always 0 and for cosine it is 1, but when it comes to finding shifts of x degrees, there I get confused.

solomonzelman · Answer

Oh yeah. I am not good at those....

anonymous · Answer

Haha ok, thank you for the help though.

solomonzelman · Answer

Glad I helped you somehow at least; anytime!

the_fizicx99 · Answer

Try asking @robtobey @ranga @nincompoop and @shamil98 lol sorry I'm not this far ahead

anonymous · Answer

@SolomonZelman I think you have to convert to radians.

anonymous · Answer

I could be wrong, but this is what I think.
I think this question can be done just by looking at the graph.  
If you look at the graphs of sin(x), cos(x) and tan(x), the graph they gave you looks a lot like tan(x).  There's a point where the graph turns from being concave down to concave up.  That point has been shifted to the right and down.  See drawing to follow...

anonymous · Answer

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