# How do you find the amplitude, period, and shift for #y= -sin (4/3)x#?

##### 1 Answer

amplitude

period

phase shift

vertical shift

#### Explanation:

The general equation for a sine graph is:

#y=color(red)asin(color(orange)k(x-color(green)d)+color(blue)c#

where:

In this case, since the value of

The period is found by substituting the

period

#=360^@/k#

#=360^@/(4/3)#

#=360^@-:4/3#

#=360^@*3/4#

#=color(red)cancelcolor(black)(360^@)^(90^@)*3/color(red)cancelcolor(black)4#

#=270^@#

The phase shift is

The vertical shift is