Question

How do you graph the inequality `y>(x-3)^2-4`?

Answer 1

See the explanation below:

Explanation:

Plot `y = (x - 3)^2 - 4:`
Vertex is `(3, -4)`, and passes through `(1, 0), (5, 0)`

It is a parabola, opened upwared. `y > (x - 3)^2 - 4` happens inside the shape.
https://www.desmos.com/calculator/kudltdjrrl