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What effect does changing the function f (x) = 2 sin (x/2)- 1 to the function g(x) = 2 sin (x) - 5 have on the graph of f(x)?
O The graph is stretched vertically by a factor of 2 and shifted right 4 units.
O The graph is compressed vertically by a factor of 2 and shifted left 4 units
O The graph is stretched horizontally by a factor of 2 and shifted up 4 units.
O The graph is compressed horizontally by a factor of 2 and shifted down 4 units

What effect does changing the function f x 2 sin x2 1 to the function gx 2 sin x 5 have on the graph of fx O The graph is stretched vertically by a factor of 2 class=

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Answer:

choice 4 (or D)

Step-by-step explanation:

1) the initial argument (x/2) and the final one (x) shows horizontal compression of the given function;

2) the different between (-1) and (-5) is (-4); it means shifting down 4 units;

3) the correct answer is: the graph is compressed horizontally by a factor 2 and shifted down 4 units.

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