Even and Odd functions

Even Functions: Well for even functions we need to first know the mathematical form, which is f(-x)=f(x). What this really means is that for every input of positive x the output will be the same if you plug in -x. Graphically this means that once you have the points you want plugged in on quadrant I the quadrant right next to it, quadrant II, will have the same Y and X value, just that X will be negative in quadrant II. This is a little confusing but yet its the clearest i could make it. Lets look at the graph below, y=x^2. Do you see how Quadrant I and II are practically a reflection of one another, and Quadrant III and IV are an exact reflection of one another? Well that's what it is practically meant by f(-x)=f(x).

Odd functions: Well for odd functions I think will be a little easier to explain, the mathematical form for an odd function is f(-x)=-f(x). With this function, it is trying to be explained that whenever point (x,y) lie on the graph then so is (-x,-y), if point (x,-y) lies on the graph then so is point (-x,y). It is just the opposite. not opposite like the even functions but like opposite as if the point went 180 degrees on the graph. For example if the point (2,3) then in an odd function another point is going to be (-2,-3). Look at the graph below to see what exactly I'm saying.