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mrflexington77
26.02.2021 •
Mathematics
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
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Ответ:
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.
Ответ:
x^2+x+3x+3=x^2+6x
x^2+4x+3=x^2+6x
4x+3=6x
3=2x
x=1.5
Hope this helps :)