Review 4-4 and 4-5

Graph y = -1/2 sin (πx)

Graph y = 3 cos (x + π/2)

Graph y = tan (πx/4)

Graph y = cot (x + π/2)

Graph y = csc(x/3)

Graph y = 3 sec x

Graph y = 3 sin (2x – 2π) + 1

Give an equation for the graph.

Ans: y = -4cosπx

Give an equation for the graph.

Ans: y = 3csc 1 4 x

Give an equation for the graph.

Ans: y = -5 sin ( 1 2 x) + 2

A deer population in a state park rises and falls each year A deer population in a state park rises and falls each year. It is at a minimum of 4500 deer in January. By July as the weather warms up and the food grows more abundant, the population triples in size. By the following January, the population falls to 4500 deer, completing the annual cycle. Use a trig function to find a possible formula for D, the deer population, m months into the year. Graph your function. Predict the number of deer in April. Describe the significance of the period, amplitude, and mid-line in this function.

Ans : y = -4500 cos ( π 6 𝑥− π 6 ) + 9000