Question

What effect does changing the function

f(x)=2sin(x2)−1 to the function

g(x)=2sin(x)−5 have on the graph of f(x)?



The graph is stretched vertically by a factor of 2 and shifted right 4 units .

The graph is compressed vertically by a factor of 2 and shifted left 4 units .

The graph is compressed horizontally by a factor of 2 and shifted down 4 units.

The graph is stretched horizontally by a factor of 2 and shifted up 4 units .

My answer is C

Answer 1

assuming you meant f(x) = 2sin(x^2) - 1

look at the graphs of these two:
http://www.wolframalpha.com/input/?i=plot+y%3D2sin(x%5E2)%E2%88%921+,+y%3D2sin(x)%E2%88%925

none of the given answers are correct.
The problem is the x ---> x^2

There is compression, but at an accelerated rate for |x|?1
All your choices have the compression by a factor of 2
looking at the constants at the end, there is a vertical shift down 4 units, one of the choices has that

Answer 2

I'm so sorry!! I actaully meant f(x)=2sin(x/2)-1