How do i graph f (x) = 1/2x^2

Step-by-step explanation:

You might start by making a table of x and y values:

x y

0 0

1 1

-1 1

2 4 and so on.

That coefficient (1/2) will halve all of the y values, so that you'll have:

x y/2

0 0/2 = 0

1 1/2 = 1/2

-1 1/2 = 1/2

2 4/2 = 2 and so on.

The graph will have a parabolic shape, and this parabola will open up. The graph is flatter than that of y = x², due to the coefficient 1/2.