# State the amplitude and period of this function: y = 4sin(1/2)x ?

##### 2 Answers

Jun 20, 2018

#### Explanation:

#"given the sine function in the form"#

#•color(white)(x)y=asinbx#

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

#"here "a=4,b=1/2#

#"amplitude "=|4|=4." period "=(2pi)/(1/2)=4pi#

Jun 20, 2018

Amplitude is 4

Period is

#### Explanation:

The parent function is:

this function has a amplitude of

graph{y=sinx [-10, 10, -5, 5]}

Standard equation for sin is:

a = amplitude (vertical stretch/compression)

b = horizontal stretch/compression

c = horizontal shift

d = vertical shift

So that cuts the input values and half doubling the period.