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You need to use the formula to understand it. I will show you, but if you're still in school I STRONGLY recommend asking you professor to explain it to you so you fully grasp the reason.

A moving electron has kinetic energy K1 . After a net amount of work W has been done on it, the electron is moving one-quarter as fast in the opposite direction.Find W in terms of K1!!!

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K1

= 1/2 mv1^2 <--by definition
v2 = -v1/4 <-- given in the question that the final velocity is a fourth of the initial velocity

but opposite in direction.

K2 = 1/2 mv2^2 (when I say v1 and v2 I mean first and final velocity) By definition

Substituting v2 = -v1/4 for the formula of final kinetic energy

(to leave it in terms of K1)

K2 = 1/2 mv1^2/4^2 = 1/2 mv1^2/16 = 1/16 K1 <-in terms of K1
By definition W = ∆K
W = ∆K = K2 - K1 = 1/16 K1 - K1 = -15/16 K1 is the total work in terms of K

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Q: Who worked out that Kinetic had an opposite at all because it doesn't. Potential is having the prospect of becoming kinetic so how is that an opposite. What could be still in relation to all else?
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