Question

How do you graph `y=x^2-5`?

Answer 1

`y` is the standard graph of `x^2` shifted down by 5 units.

Explanation:

`y=x^2 +5`

`y` is the standard graph of `x^2` shifted down by 5 units.

`y` has zeros at `+-sqrt5`

`y' = 2x`
Hence: `y_min = -5` at `x=0`

The graph of `y` is shown below:
graph{x^2-5 [-10, 10, -5, 5]}