Question 1143426
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With the amplitude unchanged, the general equation is<br>
{{{cos(b(T-c))+d}}}<br>
where c is the horizontal (phase) shift and d is the vertical shift.  b is the normal period of 360 degrees, divided by the actual period.<br>
(1) The basic graph: {{{cos(T)}}}<br>
(2) Shifted 270 degrees left --> c = -270: {{{cos(T-(-270)) = cos(T+270)}}}<br>
(3) Period changed from 360 degrees to 180 degrees --> b = 360/180=2: {{{cos(2(T+270))}}} or {{{cos(2T+540)}}}<br>
(4) Shifted up 2 --> d = 2: {{{cos(2(T+270))+2}}}