the first decision is a choice between y = a*cosb(x - h) + k and y = a*sinb(x - h) + k. starting at the…
the first decision is a choice between y = a*cosb(x - h) + k and y = a*sinb(x - h) + k. starting at the green point, which general pattern does the graph follow? min - mid - max - mid - min complete the pattern is that of done cosine sine - cosine - sine
Answer
Explanation:
Step1: Recall cosine and sine graph features
The cosine function (y = a\cos[b(x - h)]+k) starts at a maximum or minimum value when (x = h). The sine function (y=a\sin[b(x - h)]+k) starts at the mid - value when (x = h).
Step2: Analyze the given graph pattern
Starting at the green point, the pattern is min - mid - max - mid - min. A cosine function (y=-a\cos[b(x - h)]+k) (negative cosine) starts at a minimum value. This matches the given pattern starting at the green point.
Answer:
- cosine