MathCastle
TrigonometryHardGraphs of Sine and Cosine

Graphs of Sine and Cosine · Hard problem

xymax 2min -2midline

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=2cos⁡(x2)y = 2 \cos{\left(\frac{x}{2} \right)}, give the amplitude, the period, the midline kk, and the horizontal shift hh.