What is the period, amplitude, and frequency for the graph $f(x) = 1 + 2 \sin(2(x + \pi))$ ?

Question

What is the period, amplitude, and frequency for the graph $f(x) = 1 + 2 \sin(2(x + \pi))$ ?

1 Answer

Impact of this question

6214 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2014-12-06T20:29:00

The general form of the sine function can be written as

$f(x) = A sin(Bx +- C) +- D$ , where

$|A|$ - amplitude;
$B$ - cycles from $0$ to $2pi$ - the period is equal to $(2pi)/B$
$C$ - horizontal shift;
$D$ - vertical shift

Now, let's arrange your equation to better match the general form:

$f(x) = 2 sin(2x +2pi) +1$ . We can now see that

Amplitude - $A$ - is equal to $2$ , period - $B$ - is equal to $(2pi)/2$ = $pi$ , and frequency, which is defined as $1/(period)$ , is equal to $1/(pi)$ .

Science

Math

Humanities

... and beyond

What is the period, amplitude, and frequency for the graph $f(x) = 1 + 2 \sin(2(x + \pi))$ ?

1 Answer

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

What is the period, amplitude, and frequency for the graph f(x) = 1 + 2 \sin(2(x + \pi))f(x) = 1 + 2 \sin(2(x + \pi))?

1 Answer

Related questions

Impact of this question

What is the period, amplitude, and frequency for the graph $f(x) = 1 + 2 \sin(2(x + \pi))$ ?