MathCastle
TrigonometryHardGraphs of Sine and Cosine

Graphs of Sine and Cosine · Hard problem

xymax 5min -5midline

The wave drawn is y=a sin ⁣(b(x−h))+ky = a\,sin\!\left(b(x - h)\right) + k. From the graph and the equation y=−5cos⁡(3x+π3)y = - 5 \cos{\left(3 x + \frac{\pi}{3} \right)}, give the amplitude, the period, the midline kk, and the horizontal shift hh.