Question

Bow do I graph y less than or equal to -x squared - 5

Answer 1

You would first graph [ y equal to -x² - 5 ], then look at the IN-equality.
It describes any point that's either ON that line or UNDER it.

Every point on that graph is equal to it, and every point directly under that graph
is less than it.

So the solution to the IN-equality is the line (the upside down parabola)
AND every point that's directly under any point on the parabola.

It winds up looking like a gray shower curtain that's hanging from a parabola
and has no bottom edge.  Starting from the parabola, it keeps going infinitely
far down, because every point that's under the parabola, no matter how far under,
satisfies the inequality.