Find the slope of the line that
passes through the following
points. (0,0), (-2,-4)

2

Step-by-step explanation:

The equation for finding slope is:

Plugging in our values of x and y gives us:

(-4 - 0)/(-2-0) =

-4/-2 =

4/2 =

2

f(t) =  -2 cos 2t

Step-by-step explanation:

If we start with cos t then transform to - cos t we get a reflection in the t axis and the maximum  on the y axis will become a minimum.

Multiplying by 2 to give -2 cos t will stretch  the peaks from t = 1 and -1 to t = 2 and -2.

Finally  converting to  -2 cos 2t stretches the curve horizontally by a factor of 1/2. ( 'Squashing' it).