The populations of some predatory animals vary periodically. Assume that the population of foxes in a forest varies with time. When records started being kept, there were only 180 foxes, the minimum, and 6 years passed before they reached the
minimum again. The maximum number of foxes was 1000.

Questions;
1.) Write the reflected cosine equation that would fit this situation.

2.) What will the population of foxes be after 2.5 years? Round the nearest whole number.

First locate the turning point (vertex) of the graph. which is at the coordinates x=5 and y=9 or (5; 9).to determine whether it's a maximum or mininum value, you have to discern whether the vertex's y-value is the highest value or lowest value the graph can reach. since the vertex's y-value, 9 is the highest value the graph can reach, it will be a maximum.another basic way to determine whether the vertex's value is max or min is to see if the graph is smiling or sad. if it's smiling, the turning point/vertex would be a minimum, while a sad parabola would have a maximum y-value at the vertex.