What is the general equation of a cosine function with an amplitude of 3, a period of 4 pi, and a horizontal shift of Negative pi? y = 4 pi cosine (3 (x minus pi)) y = 3 cosine (4 pi (x + pi)) y = 3 cosine (0.5 (x + pi)) y = 4 pi cosine (0.2 (x + pi))

We have the line parametrized by

Solving for t in each equation we have that

The point (a,b) lies in the line if when we replace a in the first equation and b in the second equation, the values of t coincide.

a)

1. (-4,-1)

Then, (-4,-1) lies in the line but no lies in the section of the line obtained by restricting t to nonnegative numbers.

2. (26,9)

Since t is positive then (26,9) lies in the line and lies in the section of the line obtained by restricting t to nonnegative numbers.

3. (32,11)

Since t is positive then (32,11) lies in the line and lies in the section of the line obtained by restricting t to nonnegative numbers.

4. If we take t=2 we obtain the point

(20,7) that lies in the section of the line obtained by restricting t to nonnegative numbers.

b)

When t=-5,

correspond to the point (-22,-7).

when t=-2

correspond to the point (-4,-1).

-22<-4 and -7<-1

then the left endpoint (-22,-7) and right endpoint (-4,-1)