Question

How do you solve the system `y^2<x` and `x^2-4y^2<16` by graphing?

Answer 1

Plot both curves on the same coordinate space. The solution is the entire region defined by the overlap of the two functions.

Answer 2

I used a graphing tool, Desmos.com, to draw the curves.

Explanation:

A picture is worth 1000 words:

Red: `y^2 < x`

Answer 3

See graph done and cited by fellow Socratic member

Explanation:

`y^2` < x
Think of this function as the parent function of `y=x^2` on its side