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AveGali [126]
3 years ago
13

how do the graphs of f(x) = sin x and g(x) = sin2x+3 compare. Must make two selections of the following that apply.

Mathematics
2 answers:
ivolga24 [154]3 years ago
4 0

Answer:

C. and E.

Step-by-step explanation:

Elena L [17]3 years ago
3 0

Answer:

The correct options are:

  • g(x) is shifted three units higher than f(x).
  • g(x) has a period that is half the period of  f(x).

Step-by-step explanation:

We have to compare the graphs of the function:

f(x)=\sin x

and g(x)=\sin 2x+3

We have to select the correct options among the following:

As we know that the period of sine function is 2π.

i.e. Period of function f(x) is: 2π.

The period of sin(2 x) is π.

Hence, the period of the function g(x) function is π.

  • Hence, the period of g(x) is half the period of f(x).
  • Also we could observe that g(x) is shifted 3 units upward.

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