Question 1115522
<br>
The general cosine function is<br>
{{{a*cos(b(x-c))+d}}}<br>
a is the amplitude;
b determines the period (the period is 2pi/b);
c is the horizontal phase shift; and
d is the vertical shift.<br>
"reflected..."  --  that means a is negative<br>
"...over the midline y=3..."  --  that's a vertical shift; d is 3<br>
"...with an amplitude of 3..."  --  we already know a is negative; now this means a is -3<br>
"...twice the period..."  --  the period is 4pi; since the period is 2pi/b, b is 1/2<br>
"...and a phase shift of pi/2 to the right  --  that means c is pi/2<br>
Put it all together, using the values of a, b, c, and d you have determined:<br>
{{{-3*cos((1/2)(x-pi/2))+3}}}