Question

How do you graph `y<x^2`?

Answer 1

Well, first of all consider the associated equation `y=x^2`. It's the well-known parabola:

graph{x^2 [-10.17, 9.83, -1.88, 8.12]}

But the graph in blue is nothing but the set
`{(x,y) | y=x^2}`
This means that, taken any `x`, the point with coordinate `(x,x^2)` is on the parabola. You are looking for the points `(x,y)`, where `y<x^2`. Since you know where the equality holds (i.e. on the parabola), you also know where the inequality holds: for any `x`, choose all the points with `y` coordinates smaller than `x^2`.

We are doing nothing but describing with words the part of the plan below the graph, as shown -- so everything in the blue part (excluding the graph itself) is part of the solution.

graph{y< x^2 [-10.17, 9.83, -1.88, 8.12]}