MathCastle
TrigonometryHardGraphs of Sine and Cosine

Graphs of Sine and Cosine · Hard problem

xymax 5min 1midline

The wave drawn is y=a cos ⁣(b(x−h))+ky = a\,cos\!\left(b(x - h)\right) + k. From the graph and the equation y=2sin⁡(2x+π4)+3y = 2 \sin{\left(2 x + \frac{\pi}{4} \right)} + 3, give the amplitude, the period, the midline kk, and the horizontal shift hh.