# What is the amplitude and period of #y=2sinx#?

##### 2 Answers

#### Explanation:

#"the standard form of the "color(blue)"sine function"# is.

#color(red)(bar(ul(|color(white)(2/2)color(black)(y=asin(bx+c)+d)color(white)(2/2)|)))#

#"where amplitude "=|a|," period "=(2pi)/b#

#"phase shift "=-c/b" and vertical shift "=d#

#"here "a=2,b=1,c=d=0#

#rArr"amplitude "=|2|=2," period "=2pi#

amplitude:

period:

#### Explanation:

the amplitude of

the result of

the result of

since

the amplitude is the value of the distance between the

for

for

the period of a graph is how often the graph repeats itself.

the graph of

(the graph shown is

if the value that the function

e.g. if the value is changed to

the range of the values that

if the coefficient of

however, the function in question does not the coefficient of

the range of values that

the amplitude is