How do you find the important points to graph #y=-.4 sin (10x+pi/2)#?

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Answer 1 · 2018-05-19T16:06:17

As below

Standard form for sine function is

#y = A sin (Bx - C) + D#

Given : #y = -0.4 sin (10x + pi/2)#

Amplitude #= |A| = 0.4#

Period # = (2pi)/|B| = (2pi)/10 = pi/5#

Phase Shift #= (-C)/B = (-(pi/2))/10 = (-pi)/20#, #pi/(20)# to the left

Vertical Shift #= D = 0#