Find a functiom for the graph below

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).

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions