Which of the following equations matches the function shown above? a. y=1/4cos(x) b. y=cos(4x) c. y=4cos(x) d. cos(1/4x)

Remark

Any answer that does not alter x cannot be correct. That means that A and C are both incorrect. The cycle of y = cos(x) is 2*pi in both those cases. What that means is that the cos will start at its highest point and 2*pi later will be back at its highest point.

The above paragraph explains what A and C do not do. But what is it that they do? A will give an amplitude of 1/4 which means that the highest point is y = 1/4 and the lowest point is y = -1/4. C will do the same thing except that y will = 4 and - 4 at at its highest and lowest point.

So what's the answer between B and D? Your graph shows the cycle ending at pi/2. Which graph does that? y = cos(1/4 pi) or y = cos(4pi)? The way to reason that out is to look at the end point. It is at x = 1.57. What should it be? It should be x = 2*pi or x =6.28. What do you have to do to get 1.57 to equal 6.28?

Answer you must multiply x by 4

So the answer to the question is B. Look to see that my graph is the same as yours. The red line is y = cos(1/4 x). The blue one is the one you want.

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.

sine

step-by-step explanation: