here's the attachment
A function is a special kind of relationship between variables. It is like a game which is totally determined by the formula that goes as follows. I give you a number (the value of x, the input into the function) and you give me a number back according to some forumla (the value of y, the output of the function). In this case the formula is y = 1/2x^2.
So if I give you x=1, you have to give me back y =1/2(x)^2 = 1/2.
A representation of this game can be given on a graph where grid lines along the horizontal represent the values of x, the inputs, and grid lines along the vertical represent the values of y, the outputs.
So pick a point called the origin, we say at this value x=0 and y=0. Now draw a horizontal and a vertical line through this point (these are our x-axis and y-axis)
Now play the game: for the first x value, what y value must you give?
for x=2 we know the forumla tells us y = 1/2(2)^2 = 2.
You can put a point at the grid intersection (2,2). That is the point 2 grid marks to the right of the y-axis and 2 grid marks up from the x-axis.
Repeat this procedure for each value of x given. You should get a collection of points on the grid curving upward. You can connect them by moving along the x-axis and connecting consecutive points.
Try other inputs into the formula and plot even more points!