Question #9f3f9

1 Answer
Dec 3, 2017

Amplitude = 1
Period #= 2pi#
Phase shift #= -(pi/4)#
Vertical shift #= 2#

Explanation:

Standard form of equation is #y = a sin (bx + c) + d#

#y = sin(x + (pi/4)) + 2#

Amplitude = a = 1

Period = #|(2pi)/b| = | (2pi) /1| = 2pi#

Phase sift #= -c / b = -(pi/4) / 1 = -(pi/4)#

Vertical shift #= d = 2#
graph{sin(x+(pi/4))+2 [-10, 10, -5, 5]}