a homeowners association monitored the number of households in a neighborhood using their sprinkler systems…

a homeowners association monitored the number of households in a neighborhood using their sprinkler systems during certain hours. the graph below shows the information recorded for two days.\nthe function describing this graph is a transformation of the parent cosine function, y = cos x.\nwhich value best describes the period of the transformed function?\na. 24 hours\nb. 12 hours\nc. 18 hours\nd. 16 hours

a homeowners association monitored the number of households in a neighborhood using their sprinkler systems during certain hours. the graph below shows the information recorded for two days.\nthe function describing this graph is a transformation of the parent cosine function, y = cos x.\nwhich value best describes the period of the transformed function?\na. 24 hours\nb. 12 hours\nc. 18 hours\nd. 16 hours

Answer

Explanation:

Step1: Recall period definition

The period of a periodic - function is the horizontal length of one complete cycle.

Step2: Analyze the graph

Looking at the graph of the function representing water - sprinkler usage over time, we can see that the pattern repeats itself every 24 hours. For example, the usage pattern from 3:00 a.m. on one day to 3:00 a.m. on the next day is the same.

Answer:

A. 24 hours